by J. C. Sprott

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)

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)

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)

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)

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)

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. Burscarino, 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 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**, 1-3 (April 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. Burcarino,
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)

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

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

A Proof that S-Unimodal Maps are Collet-Eckmann Maps in a Specific Range of their Bifurcation Parameters (with E. Zeraoulia), Acta Universitatis Apulensis

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

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 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.

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 (2005)

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

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)

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J. C. Sprott