Books and Publications
by J. C. Sprott

Books

Robust Chaos and its Applications [with Elhadj Zeraoulia] (World Scientific: Singapore, 2011) Q172.5 C45 Z47 2012, ISBN 978-981-4374-07-1

Frontiers in the Study of Chaotic Dynamical Systems and Open Problems [edited with Elhadj Zeraoulia] (World Scientific: Singapore, 2011) ISBN 978-981-4340-69-4

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

Elementary Quadratic Chaotic Flows with no Equilibria (with S. Jafari and S. M. R. H. Golpayegani), Physics Letters A 377, 699-702 (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)

Is Chaos Good for Learning?, Nonlinear Dynamics, Psychology, and Life Sciences 17, 223-232 (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 - 060501-4 (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 (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 - 056209-7 (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).

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)

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, 303-314 (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)

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)

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)

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 Gerald 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)

See Sprott's Curriculum Vitae (in MS-Word or PDF) for publications not listed above.

See also Sprott's Technical Notes, Sprott's Software, and Sprott's videos.

See a record of the number of publications per year.

View citations to these books and papers.