Books and Publications
Books
2-D Maps and 3-D ODE's: A Rigorous
Introduction [with Elhadj Zeraoulia] (World
Scientific : Singapore, 2010) QA243 Z47 2010, ISBN
978-981-4307-74-1
Elegant Chaos: Algebraically Simple
Chaotic Flows (World
Scientific : Singapore, 2010) QA614.82 S67 2010, ISBN
978-981-283-881-0
Physics Demonstrations: A
Sourcebook for Teachers of Physics (University of Wisconsin
Press : Madison, 2006, 2015)
Images
of a Complex World: The Art and Poetry of Chaos [with
Robin Chapman] (World Scientific : Singapore, 2005)
QA845 C46 2005, ISBN 981-256-400-4 (hard cover) 981-256-401-2
(paperback)Chaos and Time-Series Analysis Oxford University
Press : Oxford, 2003) Q172.5 C45 S67 2003, ISBN 0-19-850839-5
(hard cover) 0-19-850840-9 (paperback)
Strange Attractors: Creating Patterns in Chaos M&T Books : New York,
1993) QA614.86 S67 1993, ISBN 1-55851-298-5 (out of print, but the
manuscript is available in HTML,
PDF, and Microsoft Word format)
Numerical Recipes: Routines and Examples in
BASIC Cambridge
University Press : New York, 1991) QA297 S68 1991, ISBN
0-521-40688-9
Introduction to Modern Electronics John Wiley & Sons : New
York, 1981) TK7815 S72, ISBN 0-471-05840-8 (out of print)
Selected Major Publications
Energy
Function of 2D and 3D Dynamical Systems (with J.-M.
Ginoux, R. Meucci, and J. Llibre), Chaos, Solitons and Fractals
190 , 115768-1-6 (2025)
Bifurcation
Analysis for the Generalized Nose-Hoover System (with R.
H. Salih and B. M. Mohammed), International Journal of
Bifurcation and Chaos 34 , 2450179-1-15 (2024)Mixing
Rates of Ergodic Algorithms , Computational Methods in
Science and Technology 30 , 5-9 (2024)
The Jerk Dynamics of Lorenz Model
(with J.-M. Ginoux, R. Meucci, and J. Libre), Proceedings of the
Third International Nonlinear Dynamics Conference (2023)
Similar Master Stability Functions for
Different Coupling Schemes in Basic Chaotic Systems (with
Z. Dayani, F. Parastesh, S. Jafari, E. Scholl, and J. Kurths),
International Journal of Bifurcation and Chaos 33 ,
2350122-1-11 (2023)
The
Role of Artificial Intelligence in Chaos Research , Society
for Chaos Theory in Psychology & Life Sciences Newsletter 30 ,
May 2023-5 (2023)
Jerk
Dynamics in the Minimal Universal Model of Laser (with J.
M. Ginoux, R. Meucci, S. Euzzor, and E. Pugliese),International
Journal of Bifurcation and Chaos 32 , 22350249-1-9 (2022)
Artificial
Intelligence Study of the System JCS-08-13-2022 ,
International Journal of Bifurcation and Chaos 32 ,
2230028-1-4 (2022)
A
Simple Three-dimensional Quadratic Flow with an Attracting
Torus (with M. Mehrabbeik and S. Jafari), Physics Letters
A 451 , 28427-1-8 (2022)
Generalized
Multistability and its Control in a Laser (with R. Meucci,
J. M. Ginoux, M. Mehrabbeik, and S. Jafari), Chaos 32 ,
083111-1-11 (2022)
Critical
Slowing Down Indicators (with F. Nazarimehr, S. Jafari,
and M. Perc), European Physics Letters 32 , 18001-1-7
(2020)
Effects
of Amplitude, Maximal Lyapunov Exponent, and Kaplan–Yorke
Dimension of Dynamical Oscillators on Master Stability
Function (with M. S. Kafraj, F. Nazarimehr, D.
Ghosh, K. Rajagopal, and S. Jafari), International Journal of
Bifurcation and Chaos 32 , 2250067-1-8 (2022)
A Simple Memristive Jerk System
(with C. Li, W. J. Thio, and Z. Gu), IET Circuits, Devices &
Systems 32 , 388-392 (2021)
Quantifying the Robustness of a Chaotic
System , Chaos 32 , 0331244-1-6 (2022)
Polarity
Balance for Attractor Self-reproducing (with C. Li, J.
Sun, T. Lu, and Z. Liu), Chaos 30 , 063144-1-10 (2020)
A Chaotic Circuit
Based on a Physical Memristor (with L. Minati, L. V.
Gambuzza, W. J. Thio, and M. Frasca), Chaos, Solitons and
Fractals 136 , 109990-1-9 (2020)
Do We Need More
Chaos Examples? Chaos Theory and Applications 2 (2),
1-3
(2020)
A New Category of
Three-Dimensional Chaotic Flows with Identical Eigenvalues
(with Z. Faghani, F. Nazarimehr, and S. Jafari), International
Journal of Bifurcation and Chaos 30 , 2050025-1-9 (2020)
Coexisting Infinite Equilibria and
Chaos (with C. Li, J. Sun, Z. Tao, and S. Jafari),
International Journal of Bifurcation and Chaos 31 ,
2030042-1-17 (2021)
Hidden Attractors with Conditional
Symmetry (with C. Li, and T. Lei), International Journal
of Bifurcation and Chaos 30 , 2130014-1-14 (2020)
Investigating Chaotic Attractor of the
Simplest Chaotic System with a Line of Equilibria (with F.
Nazarimehr), European Physical Journal Special Topics 229 ,
1289-1297 (2020)
Variants of the Nose-Hoover Oscillator ,
European Physical Journal Special Topics 229 , 963-971
(2020)
A Chaotic Circuit
for Producing Gaussian Random Numbers (with W. J. Thio ),
International Journal of Bifurcation and Chaos 30 ,
2050116-1-8 (2020)
The Nose-Hoover,
Dettmann, and Hoover-Holian Oscillators (with W. G. Hoover
and C. G. Hoover), Computational Methods in Science and
Technology 25 , 121-124 (2019)
Time-Reversible
Chaotic System with Conditional Symmetry (with C. Li and
Y. Liu), International Journal of Bifurcation and Chaos 30 ,
2050067-1-12 (2020)
Two Simplest
Quadratic Chaotic Maps Without Equilibrium (with S. Panahi
and S. Jafari), International Journal of Bifurcation and Chaos 28 ,
1850144-1-7 (2018)
Ergodicity of
One-dimensional Oscillators with a Signum Thermostat ,
Computational Methods in Science and Technology 24 ,
169-176 (2018)
Predicting Tipping
Points of Dynamical Systems During a Period-doubling Route to
Chaos (with F. Nazarimehr, S. Jafari, S. M. R. H.
Golpayegani, and Matjaz Perc), Chaos 28 , 073102-1-10
(2018)
Simple Chaotic
systems with Specific Analytical Solutions (with Z.
Faghani, F. Nazarimehr, and S. Jafari), International Journal of
Bifurcation and Chaos 29 , 1950116-1-11 (2019)
Comment on "A
hidden attractor in the classical Lorenz system" (with B.
Munmuangsaen), Chaos, Solitons and Fractals 113
Offset Boosting for
Breeding Conditional Symmetry (with C. Li, Y. Liu, Z. Gu,
and J. Zhang), International Journal of Bifurcation and Chaos 28 ,
185013-1-13 (2018)
Harmonic
Oscillators with Nonlinear Damping (with W. G. Hoover),
International Journal of Bifurcation and Chaos 27 ,
1730037-1-19 (2017)
An Infinite 3-D
Quasiperiodic Lattice of Chaotic Attractors (with C. Li),
Physics Letters A 382 , 581-587 (2018)
Infinite
Lattice of Hyperchaotic Strange Attractors (with C. Li, T.
Kapitaniak, and T. Lu), Chaos, Solitons and Fractals 10 9 , 76-82 (2018)
Applied Chaos Level
Test for Validation of Signal Conditions Underlying Optimal
Performance of Voice Classification Methods (with B. Liu,
E. Polce, and J. J. Jiang), Journal of Speech, Language, and
Hearing Research 61 , 1130-1139 (2018)
Constructing
Infinitely Many Attractors in a Programmable Chaotic Circuit
(with C. Li, W. J. Thio, H. H. C. Iu, and Y. Xu), IEEE Access 6 ,
29003-29012 (2018)
Categories of Conservative Flows
(with S. Jafari and S. Dehghan), International Journal of
Bifurcation and Chaos 29 , 1950021-1-16 (2019)
A Symmetric Pair of
Hyperchaotic Attractors (with C. Li, A. Akgul, H. H. C.
Iu, and W. J. Thio), International Journal of Circuit Theory and
Applications 46 , 2434-2443 (2018)
A New Chaotic
Oscillator with Free Control (with C. Li, A. Akgul, H. H.
C. Iu, and Y. Zhao), Chaos 27 , 083101-1-6 (2017)
Megastability:
Coexistence of a Countable Infinity of Nested Attractors in a
Periodically-forced Oscillator with Spatially-periodic Damping
(with S. Jafari, A. J. M. Khalaf, and T. Kapitaniak), European
Physical Journal - Special Topics 226 , 1979-1985 (2017)
An Infinite 2-D
Lattice of Strange Attractors (with C. Li and Y. Mei),
Nonlinear Dynamics 89 ,
2629-2639 (2017)
Linear Synchronization and Circuit Implementation of Chaotic
System with Complete Amplitude Control (with C. Li, W.
Thio, R. Zhangi, and T. Lu), Chinese Physics B 26 , 120501-1-10 (2017)
How
to Bridge Attractors and Repellors (with C. Li),
International Journal of Bifurcation and Chaos 27 , 1750149-1-11 (2017)
3D Printing -- The
Basins of Tristability in the Lorenz System (with A.
Xiong, J. Lyu, and X. Wang), International Journal of
Bifurcation and Chaos 27 ,
1750128-1-5 (2017)
Constructing
Chaotic Systems with Conditional Symmetry (with C. Li and
H. Xing), Nonlinear Dynamics 87 ,
1351-1358 (2017)
Are Perpetual
Points Sufficient for Locating Hidden Attractors? (with F.
Nazarimehr, B. Saedi, and S. Jafari), International Journal of
Bifurcation and Chaos 27 ,
1750037-1-7 (2017)
Simple Chaotic
Flows with a Curve of Equilibria (with K. Barati, S.
Jafari, and V. -T. Pham), International Journal of Bifurcation
and Chaos 26 ,
1630034-1-6 (2016)
Book Review:
Modeling Love Dynamics , Nonlinear Dynamics, Psychology,
and Life Sciences 20 ,
568-569 (2016)
Detecting Hidden
Chaotic Regions and Complex Dynamics in the Self-Exciting
Homopolar Disc Dynamo (with Z. Wei, I. Moroz, Z. Wang, and
W. Zhang), International Journal of Bifurcation and Chaos 27 , 1730008-1-19 (2017)
Can Lyapunov
Exponent Predict Critical Transitions in Biological Systems?
(with F. Nazarimehr, S. Jafari, and S. M. R. H. Golpayegani),
Nonlinear Dynamics 88 ,
1493-1500 (2017)
Categorizing
Chaotic Flows from the Viewpoint of Fixed Points and Perpetual
Points (with F. Nazarimehr, S. Jafari, and S. M. R. H.
Golpayegani), International Journal of Bifurcation and Chaos 27 , 1750023-1-8 (2017)
Infinite
Multistability
in a Self-Reproducing Chaotic System (with C. Li, W. Hu,
and Y. Xu), International Journal of Bifurcation and Chaos 27 , 1750160-1-11 (2017)
Simple Chaotic
Hyperjerk System (with F. Y. Dalkiran), International
Journal of Bifurcation and Chaos 26 , 1650189-1-6 (2016)
Simple Chaotic 3D
Flows with Surfaces of Equilibria (with S. Jafari, V. -T.
Pham, C. Volos, and C. Li), Nonlinear Dynamics 86 , 1349-1358 (2016)
Sentiment-driven
Limit Cycles and Chaos (with O. Gomes), Journal of
Evolutionary Economics 27 ,
729-760 (2017)
Adaptive
Runge-Kutta Integration for Stiff Systems: Comparing Nose and
Nose-Hoover Dynamics for the Harmonic Oscillator (with W.
G. Hoover and C. G. Hoover), American Journal of Physics 84 , 786-794 (2016)
Synchronization
between Integer-order Chaotic Systems and a Class of
Fractional-order Chaotic System based on Sliding Mode Control
(with D. Chen, R. Zhang, and X. Ma), Nonlinear Dynamics 70 , 1549-1561 (2012)
Variable-boostable
Chaotic Flows (with C. Li), Optik - International Journal
for Light and Electron Optics 127 ,
10389-10398 (2016)
Simple Chaotic Flow
with Circle and Square Equilibrium (with T. Gotthans and
J. Petrzela), International Journal of Bifurcation and Chaos 26 , 1650137-1-8 (2016)
Dynamics at
Infinity, Degenerate Hopf and Zero-Hopf Bifurcation for
Kingni-Jafari System with Hidden Attractors (with Z. Wei,
I. Moroz, Z. Wang, and T. Kapitaniak), International Journal of
Bifurcation and Chaos 26 ,
1650125-1-16 (2016)
Hypogenetic Chaotic
Jerk Flows (with C. Li and H. Xing), Physics Letters A 380 ,
1172-1177 (2016)
Hidden Hyperchaos
and Electronic Circuit Application in a 5D Self-exciting
Homopolar Disc Dynamo (with Z. Wei, I. Moroz, A. Akgul,
and W. Zhang), Chaos 27 , 033101-1-10 (2017)
The Equivalence of
Dissipation from Gibbs’ Entropy Production with Phase-Volume
Loss in Ergodic Heat-Conducting Oscillators (with P. K.
Patra, W. G. Hoover, and C. G. Hoover), International Journal of
Bifurcation and Chaos 26 ,
1650089-1-11 (2016)
NARX Prediction of
some Rare Chaotic Flows: Recurrent Fuzzy Functions Approach
(with S. Goudarzi, S. Jafari, and M. H. Moradi), Physics Letters
A 380 , 696-706 (2016)
The Speed of
Reaction-diffusion Fronts on Fractals: Testing the
Campos-Méndez-Fort Formula (with O. Suwannasen, and M. A.
Allen), ScienceAsia 42 , 33-39 (2016)
Using Chaotic
Artificial Neural Networks to Model Memory in the Brain
(with Z. Aram, S. Jafari, J. Ma, S. Zendehrough, and V. T-.
Pham), Communications in Nonlinear Science and Numerical
Simulation 44 , 449-459 (2017)
Synchronization of
two Rössler Systems with Switching Coupling (with A.
Buscarino, M. Frasca, M. Branciforte, and L. Fortuna), Nonlinear
Dynamics 88 , 673-683
(2017)
Nonequilibrium
Systems: Hard Disks and Harmonic Oscillators Near and Far From
Equilibrium (with W. G. Hoover and C. G. Hoover),
Molecular Simulation 42 , 1300-1316 (2016)
Nonideal
Behavior
of Analog Multipliers for Chaos Generation (with A.
Buscarino, C. Corradino, L. Fortuna, and M. Frasca), IEEE
Transactions on Circuits and Systems--II: Express Briefs 63 , 396-400 (2014)
Asymmetric
Bistability in the Rössler System (with C. Li), Acta
Physica Polonica B 48 , 97-107 (2017)
Limitation of
Perpetual Points for Confirming Conservation in Dynamical
Systems (with S. Jafari, F. Nazarimehr, and S. M. R. H.
Golpayegani), International Journal of Bifurcation and Chaos 25 , 1550182-1-6 (2015)
Ergodicity of a
Singly-thermostated Harmonic Oscillator (with W. G. Hoover
and C. G. Hoover), Communications in Nonlinear Science and
Numerical Simulation 32 , 234-240 (2016)
Erratum
to:
"Simple Chaotic Flows with a Line Equilibrium [Chaos, Solitons
and Fractals 57 (2013) 79-84] (with S. Jafari), Chaos,
Solitons & Fractals 77 , 341-342 (2015)
A Simple Chaotic
Flow with a Plane of Equilibria (with S. Jafari and M.
Molaie), International Journal of Bifurcation and Chaos 26 , 1650098-1-6 (2016)
Classifying
and
Quantifying Basins of Attraction (with A. Xiong), Chaos 25 ,
083101-1-7 (2015)
Ergodic
Time-reversible Chaos for Gibbs' Canonical Oscillator
(with W. G. Hoover and P. K. Patra), Physics Letters A 379 ,
2935-2940 (2015)
Using
Rate of Divergence as an Objective Measure to Differentiate
between Voice Signal Types Based on the Amount of Disorder in
the Signal (with W. M. Calawerts, L. Lin, and J. J.
Jiang), Journal of Voice 31 , 16-23 (2017)
Recent
New Examples of Hidden Attractors (with S. Jafari and F.
Nazarimehr), The European Physical Journal Special Topics 224 ,
1469-1475 (2015)
Constructing
Chaotic
Systems with Total Amplitude Control (with C. Li, Z. Yuan,
and H. Li), International Journal of Bifurcation and Chaos 25 , 1530025-1-14 (2015)
Elementary
Quadratic Chaotic Flows with a Single Non-hyperbolic
Equilibrium (with Z. Wei and H. Chen), Physics Letters A 379 ,
2184-2187 (2015)
Multistability
in
Symmetric Chaotic Systems (with C. Li, W. Hu, and X.
Wang), The European Physical Journal Special Topics 224 ,
1493-1506 (2015)
Strange
Attractors
with Various Equilibrium Types , The European Physical
Journal Special Topics 224 , 1409-1419 (2015)
Deterministic
Time-reversible
Thermostats: Chaos, Ergodicity, and the Zeroth Law of
Thermodynamics (with P. K. Patra, W. G. Hoover, and C. G.
Hoover), Molecular Physics 113 , 2863-2872 (2015)
Symmetric
Time-Reversible
Flows with a Strange Attractor , International Journal of
Bifurcation and Chaos 25 , 1550078-1-7 (2015)
Linearization of
the Lorenz System (with C. Li and W. Thio), Physics
Letters A 379 , 888-893 (2015)
New
Chaotic Regimes in the Lorenz and Chen Systems ,
International Journal of Bifurcation and Chaos 25 ,
1550033-1-7 (2015)
A Chaotic System
with a Single Unstable Node (with S. Jafari, V-T. Pham,
and Z. S. Hosseini), Physics Letters A 379 , 2030-2036
(2015)
Lessons
Learned
from Twenty Years of Chaos and Complexity , Society for
Chaos Theory in Psychology & Life Sciences Newsletter 22 ,
October 2014-6-9 (2014)
A
Unique Signum Switch for Chaos and Hyperchaos (with C. Li,
W. Thio, and H. Zhu), PHYSCON 2015, Istanbul, Turkey (2015)
A
New Piecewise Linear Hyperchaotic Circuit (with C. Li, W.
Thio, and H. Zhu), IEEE Transactions on Circuits and
Systems--II: Express Briefs 61 ,
977-981 (2014)
Adaptive Complex
Modified Hybrid Function Projective Synchronization of
Different Dimensional Complex Chaos with Uncertain Complex
Parameters (with J. Liu and S. Liu), Nonlinear Dynamics 83 , 1109-1121 (2016)
Artificial
Neural
Networks: Powerful Tools for Modeling Chaotic Behavior in the
Nervous System (with M. Molaie, R. Falahian, S.
Gharibzadeh, and S. Jafari), Frontiers in Computational
Neuroscience 8 , 241-243 (2014)
A
Dynamical System with a Strange Attractor and Invariant Tori ,
Physics Letters A 378 , 1361-1363 (2014)
When
Two Dual Chaotic Systems Shake Hands (with X. Wong and G.
Chen), International Journal of Bifurcation and Chaos 24 , 1450086-1-3 (2014)
Heat
Conduction, and the Lack Thereof, in Time-reversible Dynamical
Systems: Generalized Nosé-Hoover Oscillators with a
Temperature Gradient (with W. G. Hoover and C. G. Hoover),
Physical Review E 89 , 042914-1-6 (2014)
Multistability
in
the Lorenz System: A Broken Butterfly (with C. Li),
International Journal of Bifurcation and Chaos 24 , 1450131-1-7 (2014)
Bistability
in
a Hyperchaotic System with a Line Equilibrium (with C. Li
and W. Thio), Journal of Experimental and Theoretical Physics 118 ,
494-500 (2014)
Crisis
in Amplitude Control Hides in Multistability (with C. Li
and H. Xing), International Journal of Bifurcation and Chaos 26 , 1650233-1-11 (2016)
A Chaotic Viewpoint
on Noise Reduction from Respiratory Sounds (with M.
Molaie, S. Jafari, M. H. Moradi, and S. M. R. H. Golpayegani),
Biomedical Signal Processing and Control 10 , 245-249
(2014)
Cost Function Based
on Gaussian Mixture Model for Parameter Estimation of a
Chaotic Circuit with a Hidden Attractor (with S. -K. Lao,
Y. Shekofteh, and S. Jafari), International Journal of
Bifurcation and Chaos 24 ,
1450010-1-11 (2014)
Comment
on
"How to Obtain Extreme Multistability in Coupled Dynamical
Systems (with C. Li), Physical Review E 89 ,
066901-1-2 (2014)
Chaotic
Flows
with a Single Nonquadratic Term (with C. Li), Physics
Letters A 378 , 178-183 (2014)
A Simple Chaotic
Flow with a Continuously Adjustable Attractor Dimension
(with B. Munmuangsaen, W. J. Thio, A. Buscarino, and L. Fortuna,
International Journal of Bifurcation and Chaos 25 , 1530036-1-12 (2015)
Simple Chaotic
Flows with a Line Equilibrium (with S. Jafari), Chaos,
Solitons and Fractals 57 ,
79-84 (2013)
Multistability in a
Butterfly Flow (with C. Li), International Journal of
Bifurcation and Chaos 23 ,
1350199-1-10 (2013)
Simplest Chaotic
Flows with Involutional Symmetries , International Journal
of Bifurcation and Chaos 24 ,
1450009-1-9 (2014)
Coexisting Hidden
Attractors in a 4-D Simplified Lorenz System (with C. Li),
International Journal of Bifurcation and Chaos 24 , 1450034-1-12 (2014)
Finding Coexisting
Attractors using Amplitude Control (with C. Li), Nonlinear
Dynamics 78 , 2059-2064
(2014)
Broken Symmetry in
Modified Lorenz Model (with I. Djellit and B. Kilani),
International Journal of Dynamical Systems and Differential
Equations 5 , 136-146 (2015)
Simple Chaotic
Flows with one Stable Equilibrium (with M. Molaie, S.
Jafari, and S. M. R. H. Golpayegani), International Journal of
Bifurcation and Chaos 23 , 1350188-1-7 (2013)
Amplitude-Phase
Control of a Novel Chaotic Attractor (with C. Li and I.
Pehlivan), Turkish Journal of Electrical Engineering &
Computer Sciences 24 ,
1-11 (2016)
A Gaussian Mixture
Model Based Cost Function for Parameter Estimation of Chaotic
Biological Systems (with Y. Shekofteh, S. Jafari, S. M. R.
H. Golpayegani, and F. Almasganj), Communications in Nonlinear
Science and Numerical Simulation 20 , 469-481 (2015)Amplitude Control Approach for
Chaotic Signals (with C. Li), Nonlinear Dynamics 73 , 1335-1341 (2013)Coexistence of Point, Periodic and
Strange Attractors (with X. Wang and G. Chen),
International Journal of Bifurcation and Chaos 23 , 1350093-1-5 (2013)
A Chaotic Model of
Sustaining Attention Problem in Attention Deficit Disorder
(with G. Baghdadi, S. Jafari, F. Towhidkhah, and M. R. H.
Golpayegani), Communications in Nonlinear Science and Numerical
Simulation 20 , 174-185
(2015)
A
Novel Four-wing Strange Attractor Born in Bistability
(with C. Li, I. Pehlivan and A. Akgul), IEICE Electronics
Express 12 , 1-12 (2015)
Elementary
Quadratic
Chaotic Flows with no Equilibria (with S. Jafari and S. M.
R. H. Golpayegani), Physics Letters A 377 , 699-702
(2013)Simplest 3D Continuous-time
Quadratic Systems as Candidates for Generating Multiscroll
Chaotic Attractors (with E. Zeraoulia), International
Journal of Bifurcation and Chaos 23 , 13550120-1-6 (2013)
Application of Takagi-Sugeno Fuzzy
Model to a Class of Chaotic Synchronization and
Anti-synchronization (with D Chen, W. Zhao and X. Ma),
Nonlinear Dynamics
73 ,
1449-1505 (2013)
Layla and Majnun: A Complex Love
Story (with S. Jafari and S. M. R. H. Golpayegani),
Nonlinear Dynamics
83 ,
615-622 (2016)
A New Cost Function for Parameter
Estimation of Chaotic Systems Using Return Maps as
Fingerprints (with S. Jafari, V. T. Pham, S. M. R. H.
Golpayegani, and A. H. Jafari), International Journal of
Bifurcation and Chaos
24 ,
1450134-1-18 (2014)
Evaluating Lyapunov Exponent Spectra
with Neural Networks (with A. Maus), Chaos, Solitons &
Fractals
51 , 13-21
(2013)
On a Conjecture about
Monomial Henon Mappings (with E. Zeraoulia), International
Journal of Open Problems in Computer Science and Mathematics
6 (3),
55-60 (2013)
A General Approach for
Hyperchaotifying n -dimensional
Continuous-Time Systems (with E. Zeraoulia), SciTech
Journal of Science & Technology
1 , 106-109 (2012)
Is a Unifying Chaotic
Dynamical System Possible? (with E. Zeraoulia),
International Journal of Open Problems in Computer Science and
Mathematics
5 (3), 75-78 (2012)
A Proof that S-Unimodal
Maps are Collet-Eckmann Maps in a Specific Range of their
Bifurcation Parameters (with E. Zeraoulia), Acta
Universitatis Apulensis
34 , 51-55 (2013)
Is Chaos Good for Learning? ,
Nonlinear Dynamics, Psychology, and Life Sciences
17 , 223-232 (2013)
About Universal Basins of Attraction
in High-Dimensional Systems (with E. Zeraoulia),
International Journal of Bifurcation and Chaos
23 , 1350197-1-7 (2013)
Hyperbolification of
Dynamical Systems: The Case of Continuous-Time Systems
(with E. Zeraoulia), Journal of Experimental and Theoretical
Physics
115 , 356-360
(2012)
Synchronization Between
Integer-order Chaotic Systems and a Class of Fractional-order
Chaotic Systems via Sliding Mode Control (with D. Chen, R.
Zhang, H. Chen, and X. Ma), Chaos
22 , 023130-1 - 023130-9 (2012)
Spatiotemporal Chaos in Easter
Island Ecology , Nonlinear Dynamics, Psychology, and Life
Sciences
16 , 387-395
(2012)
An Example of a Fully Bounded Chaotic
Sea that Surrounds an Infinite Set of Nested Invariant Tori
(with E. Zeraoulia), Palestine Journal of Mathematics
1 , 71-73 (2012)
Fractal Basins in the Lorenz Model ,
(with I. Djellit and M. R. Ferchichi) Chinese Physics Letters
28 , 060501-1-4 (2011)
A Rigorous Determination of the
Overall Period in the Structure of a Chaotic Attractor
(with E. Zeraoulia), International Journal of Bifurcation and
Chaos
23 , 1350046-1-4
(2013)
Confirmation of Persistent Chaos in
High Dimensions (with E. Zeraoulia), Palestine Journal of
Mathematics
3 , 126-128
(2014)
About Structural Stability of 3-D
Quadratic Mappings (with E. Zeraoulia), Nonlinear Studies
20 , 9-15 (2013)
Chaos in the Planar Two-Body Coulomb
Problem with a Uniform Magnetic Field , (with V. Zhdankin),
Annual Review of Chaos Theory, Bifurcations and Dynamical
Systems
3 , 23-33 (2013)
A Proposed Standard for
the Publication of New Chaotic Systems , International
Journal of Bifurcation and Chaos
21 , 2391-2394 (2011)
Chaos in Easter Island Ecology ,
Nonlinear Dynamics, Psychology, and Life Sciences
15 , 445-454 (2011)
Non-existence of
Shilnikov Chaos in Continuous-time Systems (with E.
Zeraoulia), Applied Mathematics and Mechanics (English Edition)
33 , 371-374 (2012)
Some Open Problems in
Chaos Theory and Dynamics (with E. Zeraoulia),
International Journal of Open Problems in Computer Science and
Mathematics
4 , 1-10
(2011)
Hyperchaos and
Hyperchaos Control of the Sinusoidally Forced Simplified
Lorenz System (with K. Sun, X. Liu, and C. Zhu), Nonlinear
Dynamics
69 , 1383-1391
(2012)
Generalization of the
Simplest Autonomous Chaotic Circuit (with B. Munmuangsaen
and B. Srisuchinwong), Physics Letters A
375 , 1445-1450
(2011)
A New Chaotic Jerk
Circuit , IEEE Transactions on Circuits and Systems--II:
Express Briefs
58 ,
240-243 (2011)
A Universal Nonlinear
Control Law for the Synchronization of Arbitrary 4-D
Continuous-Time Quadratic Systems (with E. Zeraoulia),
Electronic Journal of Theoretical Physics
8 , 267-272 (2011)
Transformation of 4-D Dynamical
Systems to Hyperjerk Form (with E. Zeraoulia), Palestine
Journal of Mathematics
2 ,
38-45 (2013)
Simple Predator-Prey Swarming Model
(with V. Zhdankin), Physical Review E
82 , 056209-1-7 (2010)
Robustification of Chaos
in 2D Maps (with E. Zeraoulia), Advances in Complex
Systems
14 , 817-827
(2011)
Simple Autonomous
Chaotic Circuits (with J. R. Piper), IEEE Transactions on
Circuits and Systems--II: Express Briefs
57 , 730-734 (2010)
Bifurcations and Chaos
in Fractional-Order Simplified Lorenz System (with K. Sun
and X. Wang), International Journal of Bifurcation and Chaos
20 , 1209-1219 (2010)
Contact Bifurcations in
Two-Dimensional Endomorphisms Related with Homoclinic or
Hereroclinic Orbits (with M. R. Ferchichi and I. Djellit),
International Journal of Nonlinear Science
10 , 484-494 (2010)
Identification of
Dynamic Patterns of Body Sway During Quiet Standing: Is it a
Nonlinear Process? (with H. Ghomashchi, A. Estdeki, and A.
M. Nasrabadi), International Journal of Bifurcation and Chaos
20 , 1269-1278 (2010)
Anti-Newtonian Dynamics , American
Journal of Physics
77 ,
783-787 (2009)
About the Boundedness of 3D
Continuous-time Quadratic Systems (with E. Zeraoulia),
Nonlinear Oscillations
13 ,
515-521 (2010)
Some Explicit Formulas of Lyapunov
Exponents for Three-dimensional Quadratic Mappings (with
E. Zeraoulia), Frontiers of Physics in China
4 , 549-555 (2009)
Neural Network Method for Determining
Embedding Dimension of a Time Series (with A. Maus),
Communications in Nonlinear Science and Numerical Simulation
16 , 3294-3302 (2011)
A Search for the Simplest Chaotic Partial
Differential Equation (with C. Brummitt), Physics Letters A 373 , 2717-2721 (2009)A Simple Jerk System with Piecewise
Exponential Nonlinearity (with K. Sun), International Journal
of Nonlinear Sciences & Numerical Simulation 10 , 1443-1450 (2009)Simple Conservative, Autonomous,
Second-Order Chaotic Complex Variable Systems (with D.
Marshall), International Journal of Bifurcation and Chaos 20 , 697-702 (2010)Periodically Forced Chaotic System with
Signum Nonlinearity (with K. Sun), International Journal of
Bifurcation and Chaos 20 ,
1499-1507 (2010)Simple Driven Chaotic Oscillators with
Complex Variables (with D. Marshall), Chaos 19 , 013124-1-7 (2009)Generating 3-Scroll Attractors from One
Chua Circuit (with E. Zeraoulia), International Journal of
Bifurcation and Chaos 20 ,
135-144 (2010)Bifurcations of Fractional-order
Diffusionless Lorenz System (with K. Sun), Electronic Journal
of Theoretical Physics 6 ,
123-134 (2009)Dynamics of a Simplified Lorenz System
(with K. Sun), International Journal of Bifurcation and Chaos 19 , 1357-1366 (2009)Simplifications of the Lorenz Attractor ,
Nonlinear Dynamics, Psychology, and Life Sciences 13 , 271-278 (2009)A Simple Diffusion Model Showing
Anomalous Scaling (with G. Rowlands), Physics of Plasmas 15 , 082308-1-7 (2008)Chaotic Dynamics on Large Networks ,
Chaos 18 , 023135-1-9 (2008)Classification of Three-Dimensional
Quadratic Diffeomorphisms with Constant Jacobian (with E.
Zeraoulia), Frontiers of Physics in China 4 , 111-121 (2009)Some Criteria for Chaos and no Chaos in
the Quadratic Map of the Plane (with E. Zeraoulia), Facta
Universitatis 22 , 105-117
(2009)The Discrete Hyperchaotic Double Scroll
(with E. Zeraoulia), International Journal of Bifurcation and
Chaos 19 , 1023-1027
(2009)
On the Robustness of Chaos in
Dynamical Systems: Theories and Applications (with E.
Zeraoulia), Frontiers of Physics in China 3 , 195-204 (2008)
The Effect of Modulating a Parameter in
the Logistic Map (with E. Zeraoulia), Chaos 18 , 023119-1-7 (2008)Strange Attractors , The Online
Journal of the Harvard Extension School Environmental Club 1, 56-61
(2008)The Unified Chaotic System Describing the
Lorenz and Chua Systems (with E. Zeraoulia), Facta
Universitatis 23 , 345-355
(2010)Chaotifying 2-D Piecewise Linear Maps via
a Piecewise Linear Controller Function (with E. Zeraoulia),
Nonlinear Oscillations 13 ,
328-335 (2010) A Unified Piecewise Smooth Chaotic
Mapping that Contains the Hénon and the Lozi Systems (with E.
Zeraoulia), Annual Review of Chaos Theory, Bifurcations and
Dynamical Systems 1 , 50-60
(2012) Simple Models of Complex Chaotic Systems ,
American Journal of Physics 76 ,
474-480 (2008)Biophilic Fractals and the Visual Journey
of Organic Screen-Savers (with R. P. Taylor), Nonlinear
Dynamics, Psychology, and Life Sciences 12 , 117-129 (2008)On the Dynamics of a New Simple 2-D
Rational Discrete Mapping (with E. Zeraoulia), International
Journal of Bifurcation and Chaos 21 ,
155-160 (2011)Maximally Complex Simple Attractors ,
Chaos 17 , 033124-1-6 (2007)A Two-dimensional Discrete Mapping with C-infinity
Multifold Chaotic Attractors (with E. Zeraoulia), Electronic
Journal of Theoretical Physics 17 ,
111-124 (2008)A New Simple 2-D Piecewise Linear Map
(with E. Zeraoulia), Journal of Systems Science and Complexity 23 , 379-389 (2010) A Minimal 2-D Quadratic Map with
Quasi-Periodic Route to Chaos (with E. Zeraoulia),
International Journal of Bifurcation and Chaos 18 , 1567-1577 (2008)Hyperlabyrinth Chaos: From Chaotic Walks
to Spatiotemporal Chaos (with K. E. Chlouverakis), Chaos 17 , 023110-1-8 (2007)A Simple Chaotic Delay Differential
Equation , Physics Letters A. 366 , 397-402 (2007)The Aesthetics and Fractal Dimension of
Electric Sheep (with S. Draves, R. Abraham, P. Viotti, and F.
D. Abraham), International Journal of Bifurcation and Chaos 18 , 1243-1248 (2008)Labyrinth Chaos (with K. E.
Chlouverakis), International Journal of Bifurcation and Chaos 17 , 2097-2108 (2007)Probability of Local Bifurcation Type
from a Fixed Point: A Random Matrix Perspective (with D. J.
Albers), Journal of Statistical Physics 125 , 889-925 (2006)High-Dimensional Dynamics in the Delayed
Henon Map , Electronic Journal of Theoretical Physics 3 , 19-35 (2006)Chaotic Hyperjerk Systems (with K. E.
Chlouverakis), Chaos, Solitons & Fractals 28 , 739-746 (2006)Complex Spatiotemporal Dynamics in
Lotka-Volterra Ring Systems (with J. C. Wildenberg and J. A.
Vano), Ecological Complexity 3 ,
140-147 (2006)A Simple Spatiotemporal Chaotic
Lotka-Volterra Model (with J. C. Wildenberg and Y. Azizi),
Chaos, Solitons & Fractals 26 ,
1035-1043 (2005)Coexistence and Chaos in Complex
Ecologies (with J. A. Vano, J. C. Wildenberg, M. B. Anderson,
and J. K. Noel), Physics Letters A 335 ,
207-212 (2005)Routes to Chaos in High-Dimensional
Dynamical Systems: A Qualitative Numerical Study (with D. J.
Albers), Physica D 223 ,
194-207 (2006)Substance Abuse as a Dynamical Disease:
Evidence and Clinical Implications of Nonlinearity in a Time
Series of Daily Alcohol Consumption (with K. Warren and R. C.
Hawkins), Addictive Behaviors 28 , 369-374 (2003)A Comparison of Correlation and Lyapunov
Dimensions (with K. E. Chlouverakis), Physica D 200 , 156-164 (2004)Chaos in Low-Dimensional Lotka-Volterra
Models of Competition (with J. A. Vano, J. C. Wildenberg, M.
B. Anderson, and J. K. Noel), Nonlinearity 19 , 2391-2404 (2006)Structural Stability and Hyperbolicity
Violation in High-Dimensional Dynamical Systems (with D. J.
Albers), Nonlinearity 19 ,
1801-1847 (2006)Persistent Chaos in High Dimensions
(with D. J. Albers and J. P. Crutchfield), Physical Review E 74 , 057201-1-4 (2006)Competition with Evolution in Ecology
and Finance , Physics Letters A. 325 , 329-333 (2004)
Dynamical Models of Happiness ,
Nonlinear Dynamics, Psychology, and Life Sciences 9 , 23-36
(2005)
Precision Measurements of a Simple
Chaotic Circuit (with K. Kiers and D. Schmidt), American
Journal of Physics 72 , 503-509 (2004)
Can a Monkey with a Computer Create
Art? , Nonlinear Dynamics, Psychology, and Life Sciences 8 ,
103-114 (2004)
Dynamical Models of Love , Nonlinear
Dynamics, Psychology, and Life Sciences 8 , 303-313 (2004)
A Method for Approximating Missing Data
in Spatial Patterns , Computers & Graphics 28 ,
113-117 (2004)
Chaos in Fractional-order Autonomous
Nonlinear Systems (with W. M. Ahmad), Chaos, Solitons &
Fractals 16 , 339-351 (2003)
Chaos in a Nonlinear Analog Computer
(with K. Kiers, T. Klein, J. Kolb, and S. Price), International
Journal of Bifurcation and Chaos 14 ,
2867-2873 (2004)
Comment on "A New Class of Exact
Solutions of the Vlasov Equation" (with G. Rowlands),
Physics of Plasmas 9 , 4093-4094 (2002)
Self-organized Criticality and
Complexity in Historical Landscape Patterns (with J.
Bolliger and D. J. Mladenoff), OIKOS 100 , 541-553 (2003)
Predator-Prey Dynamics for Rabbits,
Trees and Romance , Unifying Themes in Complex Systems IV,
part II, 231-238 (2008)
The Spirit Is Willing: Nonlinearity,
Bifurcations, and Mental Control (with K. Warren and R. C.
Hawkins), Nonlinear Dynamics, Psychology, and Life Sciences 6 ,
55-70 (2002)
Self-organized Criticality in
Forest-landscape Evolution (with J. Bolliger and D. J.
Mladenoff), Physics Letters A 297 , 267-271 (2002)
Simplest Driven Conservative Chaotic
Oscillator (with H. P. W. Gottlieb), Physics Letters A 291 ,
385-388 (2001)
On the Synchronization of a Class of
Electronic Circuits that Exhibit Chaos (with E. Bai and K.
Lonngren), Chaos, Solitons & Fractals 13 , 1515-1521
(2002)
The Role of Depth and 1/f
Dynamics in Perceiving Reversible Figures (with D. J. Aks),
Nonlinear Dynamics, Psychology, and Life Sciences 7 ,
161-180 (2003)
Improved Correlation Dimension
Calculation (with G. Rowlands), International Journal of
Bifurcation and Chaos 11 , 1865-1880 (2001)
Chaos
and
the
Limits
of Predictability for the Solar-wind-driven
Magnetosphere-ionosphere System (with W. Horton and R. S.
Weigel), Physics of Plasmas 8 , 2946-2952 (2001)
Can
a Computer Produce and Critique Art ?, Leonardo 34 ,
369 (2001)
Algebraically Simple Chaotic Flows
(with S. J. Linz), International Journal of Chaos Theory and
Applications 5, 3-22 (2000)
Complex Behavior of Simple Systems ,
Unifying Themes in Complex Systems IIIB, 3-11 (2006)
Memory
Across
Eye-Movements:
1/f Dynamic in Visual Search (with D. J. Aks and G.
J. Zelinsky), Nonlinear Dynamics, Psychology, and Life Sciences 6 ,
1-25 (2002)
Automatic Generation of Fractal Art ,
YLEM Newsletter 20 , 10-12 (2000)
Simple Chaotic Systems and Circuits ,
American Journal of Physics 68 , 758-763 (2000)
A
New Class of Chaotic Circuit , Physics Letters A 266 ,
19-23 (2000)
Elementary Chaotic Flow (with S. J.
Linz), Physics Letters A 259 , 240-245 (1999)
Controlling
Chaos
in a High Dimensional System with Periodic Parametric
Perturbations (with K. A. Mirus), Physics Letters A 254 , 275-278 (1999)
Controlling
Chaos
in Low- and High-dimensional Systems with Periodic Parametric
Perturbations (with K. A. Mirus), Physical Review E 59 ,
5313-5324 (1999)
Routes
to
Chaos
in Neural Networks with Random Weights (with D. J. Albers
and W. D. Dechert), International Journal of Bifurcation and Chaos
8 , 1463-1478 (1998)
Artificial
Neural
Net Attractors , Computers & Graphics 22 , 143-149
(1998)
Scientific
Visualization
in Mathematics and Physics (with C. A. Pickover), ACM
Interaction 4 , 78-79
(1997)
Some Simple Chaotic Jerk Functions ,
American Journal of Physics 65 , 537-543 (1997)
Simplest
Dissipative
Chaotic Flow , Physics Letters A 228 , 271-274 (1997)
Dynamical
Behavior
of Artificial Neural Networks with Random Weights (with D.
J. Albers and W. D. Dechert), in "Intelligent Engineering Systems
Through Artificial Neural Networks", Volume 6, C. H. Dagli, M.
Akay, C. L. P. Chen, B. R. Fernandez, and J. Ghosh, ed., ASME
Press: New York (1996), pp. 17-22
On
the Probability of Chaos in Large Dynamical Systems: A Monte
Carlo Study (with W. D. Dechert and D. J. Albers), Journal
of Economic Dynamics & Control 23 , 1197-1206 (1999)
Strange Attractor Symmetric Icons ,
Computers & Graphics 20 , 325-332 (1996)
Transport Reduction by Current Profile
control in the Reversed Field Pinch (with J. S. Sarff, A. F.
Almagri, M. Cekic, C.-S. Chaing, D. Craig, D. J. Den Hartog, G.
Fiksel, S. A. Hokin, R. W. Harvey, H. Ji, C. Litwin, S. C. Prager,
D. Sinitsyn, C. R. Sovinec, and E. Uchimoto), Physics of Plasmas 2 ,
2440-2446 (1995)
Quantifying
Aesthetic
Preference for Chaotic Patterns (with Deborah J. Aks),
Empirical Studies of the Arts 14 , 1-16 (1996)
Quantification
of
Determinism in Music using Iterated Function Systems (with
Brian Meloon), Empirical Studies of the Arts 15 , 3-13
(1997)
Automatic
Generation
of General Quadratic Map Basins (with Clifford A. Pickover),
Computers & Graphics 19 , 309-313 (1995)
Some
Simple Chaotic Flows , Physical Review E 50 ,
R647-R650 (1994)
The
Computer Artist and Art Critic , in "Fractal Horizons: The
Future Use of Fractals", Clifford A. Pickover, ed., St. Martin's
Press: New York (1996), pp. 77-115
Automatic
Generation
of Iterated Function Systems , Computers & Graphics 18 ,
417-425 (1994)
Chaos
in
Reversed-field-pinch
Plasma
Simulation and Experiment (with Christopher Watts and D. E.
Newman), Physical Review E 49 , 2291-2301 (1994)
Predicting
the
Dimension of Strange Attractors , Physics Letters A 192 ,
355-360 (1994)
Turbulent Transport in the Madison
Symmetric Torus Reversed-field Pinch (with T. D. Rempel, A.
F. Almagri, S. Assadi, D. J. Den Hartog, S. A. Hokin, S. C.
Prager, J. S. Sarff, W. Shen, K. L. Sidikman, C. W. Spragins, M.
R. Stoneking, and E. J. Zita), Physics of Fluids B 4 ,
2136-2141 (1992)
Automatic
Generation
of Strange Attractors , Computers & Graphics 17 ,
325-332 (1993)
Simple
Programs Create 3-D Images , Computers in Physics 6 ,
132-138 (1992)
How
Common is Chaos? , Physics Letters A 173 , 21-24
(1993)
Global Confinement an Discrete Dynamo
Activity in the MST Reversed-field Pinch (with S. Hokin, A.
Almagri, S. Assadi, J. Beckstead, G. Chartas, N. Crocker, M.
Cudzinovic, D. Den Hartog, R. Dexter, D. Holly, S. Prager, T.
Rempel, J. Sarff, E. Scime, W. Shen, C. Spragins, G. Starr, M.
Stoneking, C. Watts and R. Nebel), Physics of Fluids B 3 ,
2241-2246 (1991)
Extraction
of
Dynamical Equations from Chaotic Data (with G. Rowlands),
Physica D 58 , 251-259 (1992)
Physics
to the People! , The Physics Teacher 29, 212-213 (1991)
Modified
Polynomial
Function Model for Reversed-field Pinches (with W. Shen),
Physics of Fluids B 3 , 1225-1231 (1991)
The
Madison Symmetric Torus (with R. N. Dexter, D. W. Kerst, T.
W. Lovell, and S. C. Prager), Fusion Technology 19 ,
131-139 (1991)
First Results from the Madison
Symmetric Torus Reversed Field Pinch (with S. C. Prager, A.
F. Almagri, S. Assadi, J. A. Beckstead, R. N. Dexter, D. J. Den
Hartog, G. Chartas, S. A. Hokin, T. W. Lovell, T. D. Rempel, J. S.
Sarff, W. Shen, and C. W. Spragins), Physics of Fluids B 2 ,
1367-1371 (1990)
Studies of a Poloidal Divertor Reversed
Field Pinch (with J. S. Sarff, A. Almagri, S. Assadi, D. J.
Den Hartog, R. N. Dexter, and S. C. Prager) Nuclear Fusion 29 ,
104-108 (1989)
Electrical
Circuit
Modeling of Reversed Field Pinches , Physics of Fluids 31 ,
2266-2275 (1988)
Studies
of
Large,
Non-circular Reversed Field Pinch Discharges (with A.
Almagri, S. Assadi, R. N. Dexter, S. C. Prager, and J. S. Sarff),
Nuclear Fusion 27 , 1795-1803 (1987)
Trapping
of
Gun-injected Plasma by a Tokamak (with A. W. Leonard and R.
N. Dexter), Physics of Fluids 30 , 2877-2884 (1987)
Diffusion
of
Magnetic Fields into Conductors of Nonuniform Resistivity ,
Journal of Applied Physics 61 , 817-821 (1987)
Equilibrium
Studies
of a Poloidal Divertor Pinch with a Reversed Toroidal Field
(with J. S. Sarff and L. Turner), Physics of Fluids 30 ,
2155-2162 (1987)
Electrical
Circuit
Modeling of Conductors with Skin Effect (with D. W. Kerst),
Journal of Applied Physics 60 , 475-481 (1986)
Trapping
of
a Gun-Injected Plasma by a Tokamak (with A. W. Leonard and
R. N. Dexter), Physical Review Letters 57 , 333-336 (1986)
Multipole
and
Tokamak Research at the University of Wisconsin (with S. C.
Prager), Nuclear Fusion 25 , 1179-1182 (1985)
Experimental
Observation
of the Shear Alfven Resonance in a Tokamak (with F. D.
Witherspoon and S. C. Prager), Physical Review Letters 53 ,
1559-1562 (1984)
Ion
Cyclotron Resonance Heating in the Wisconsin Levitated Octupole
(with C. M. Fortgang and E. J. Strait), Plasma Physics and
Controlled Fusion 26 , 589-602 (1984)
Plasma
Heating
with
Strong Poloidal Ohmic Currents (with D. J. Holly and S. C.
Prager), Physics of Fluids 26 , 3435-3439 (1983)
Protection
of
Large Capacitor Banks (with T. W. Lovell), Review of
Scientific Instruments 54 ,
896-897 (1983)Tokamak
Start-up
with
Electron Cyclotron Heating (with D. J. Holly, S. C. Prager,
and D. A. Shepard), Nuclear Fusion 21 , 1483-1487 (1981)
High
Power Heating in the Ion Cyclotron Range of Frequencies in the
Wisconsin Tokapole II (with A. P. Biddle), Plasma Physics 23 ,
679-691 (1981)
Experimental
Observation
of Plasma Paramagnetism in a Tokamak (with D. J. Holly, S.
C. Prager, and M. W. Phillips), Physics of Fluids 23 ,
417-418 (1980)
Initial
Results
for
the Tokapole-II Poloidal Divertor Device (with A. P. Biddle,
R. N. Dexter, R. J. Groebner, D. J. Holly, B. Lipschultz, M. W.
Phillips, and S. C. Prager), Nuclear Fusion 9 , 1509-1518
(1979)
Experimental
Study
of Axisymmetric Instability of Inverse-dee and Square Tokamak
Equilibria (with B. Lipschultz, S. C. Prager, T. H. Osborne,
and M. Phillips), Physical Review Letters 43 , 36-39 (1979)
Experimental
Demonstration
of E x B Plasma Divertor (with E. J. Strait and D. W.
Kerst), Physics of Fluids 21 , 2342-2345 (1978)
Experimental
Test
of the Feasibility of Heating Tokamaks by Gun Injection
(with E. J. Strait), Nuclear Fusion 18 , 1595-1598 (1978)
Ion
Cyclotron Resonance Heating in the Wisconsin Supported Toroidal
Octupole (with J. D. Barter), Plasma Physics 19 ,
945-957 (1977)
Plasma
Digital Density Determining Device (with T. W. Lovell and D.
J. Holly), U.S. Patent No. 3952246 (1976)
Numerical
Model
of Plasma Confinement (with E. J. Strait), IEEE Transactions
on Plasma Science PS-4 , 6-10 (1976)
Ion
Cyclotron-Resonance Heating in a Toroidal Octupole (with J.
D. Barter), Physical Review Letters 34 , 1607-1609 (1975)
Measurements
of
Electron-Cyclotron Heating Rates (with J. D. Barter and K.
L. Wong), Physics of Fluids 17 , 810-812 (1974)
Digital
Plasma
Density
Determining Device (with D. J. Holly and T. W. Lovell),
Review of Scientific Instruments 45 ,
947-949 (1973)
High-Beta
Plasma
Behaviour in a Canted Mirror (with R. A. Dandl, H. O. Eason
and A. C. England), Nuclear Fusion 13 , 693-701 (1973)
Effect
of
Magnetic
Field Errors on Confinement in Bumpy Tori , Physics of Fluids
16 , 1157-1159 (1973)
Numerical
Calculations
of Off-resonance Heating , Physics of Fluids 15 ,
2247-2253 (1972)
Off-Resonance
Heating
of Mirror Confined Plasmas (with K. A. Connor and J. L.
Shohet), Plasma Physics 14 , 269-274 (1972)
Computer
Calculations
of Electron Cyclotron Heating in a Nonuniform Magnetic Field
(with P. H. Edmonds), Physics of Fluids 14 , 2703-2707
(1971)
Electron
Cyclotron
Heating in Toroidal Octupoles , Physics of Fluids 14 ,
1795-1802 (1971)
Behavior
of
a Cold Ion Plasma in a Toroidal Octupole , Physics of Fluids
13 , 1626-1633 (1970)
Double
Vortex
Flows
in Plasmas Axially Traversing Multipole Magnetic Fields
(with G. O. Barney), Physics of Fluids 12 , 707-712 (1969)
Admittance
Probe
Method of Measuring Time Resolved Plasma Electron Temperatures ,
Review of Scientific Instruments 39 , 1569-1570 (1968)
Influence
of
a Toroidal Field on Plasma Confined in a Toroidal Octupole
(with D. E. Lencioni, J. W. Poukey, J. A. Schmidt, and C. W.
Erickson), Physics of Fluids 11 , 1115-1125 (1968)
Wide
Band Electrostatic Probes for Use in Tenuous Plasmas , Review
of Scientific Instruments 37 , 897-900 (1966)
MS-Word or PDF ) for
publications not listed above.
Sprott's Technical Notes , Sprott's Software , and Sprott's videos .
number of publications per year .
Google
Scholar .
ResearchGate .
J. C.
Sprott
Elegant
Automation: Robotic Analysis of Chaotic Systems (World
Scientific: Singapore, 2023) ISBN 978-981-127-751-1
Elegant Simulations: From Simple
Oscillators to Many-Body Systems [with William G.
Hoover and Carol G. Hoover] (World
Scientific: Singapore, 2023) ISBN 978-981-126-356-9
Elegant
Fractals:
Automated Generation of Computer Art (World
Scientific: Singapore, 2019) N72.M3
S67 2019, ISBN 978-981-3237-13-1
Robust Chaos and its Applications
[with Elhadj Zeraoulia] (World
Scientific: Singapore, 2011) Q172.5 C45 Z47 2012, ISBN
978-981-4374-07-1