Books and Publications
by J. C. Sprott


Books

* 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

* 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

* 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) QC33 S675 2015 , ISBN 978-0-299-30470-6

* 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

* 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)

* 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, 261-262 (2018)

* 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)

* Infinite Lattice of Hyperchaotic Strange Attractors (with C. Li, T. Kapitaniak, and T. Lu), Chaos, Solitons and Fractals 109, 76-82 (2018)

* An Infinite 3-D Quasiperiodic Lattice of Chaotic Attractors (with C. Li), Physics Letters A 382, 581-587  (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)

* 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-M�ndez-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 R�ssler 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 R�ssler 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 Nos�-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 H�non 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)


* 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.

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J. C. Sprott