Sprott, Julien C.
Overview
Works:  96 works in 295 publications in 2 languages and 8,859 library holdings 

Genres:  Digital art Software 
Roles:  Author, Editor, Other, Author of introduction, Creator, Contributor 
Classifications:  QC33, 003.857 
Publication Timeline
.
Most widely held works by
Julien C Sprott
Elegant chaos : algebraically simple chaotic flows by
Julien C Sprott(
)
21 editions published in 2010 in English and held by 1,701 WorldCat member libraries worldwide
Includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler and many others, this book collects the mathematically simple systems of differential equations whose solutions are chaotic
21 editions published in 2010 in English and held by 1,701 WorldCat member libraries worldwide
Includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler and many others, this book collects the mathematically simple systems of differential equations whose solutions are chaotic
2D quadratic maps and 3D ODE systems : a rigorous approach by
Elhadj Zeraoulia(
)
15 editions published in 2010 in English and held by 1,564 WorldCat member libraries worldwide
This book is based on research on the rigorous proof of chaos and bifurcations in 2D quadratic maps, especially the invertible case such as the Hňon map, and in 3D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and nonchaos in the space of bifurcation parameters. Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2D quadratic map, where previous works are oriented toward Hňon mapping. 2D quadratic maps are then classified into 30 maps with wellknown formulas. Two proofs on the regions for chaos, hyperchaos, and nonchaos in the space of the bifurcation parameters are presented using a technique based on the secondderivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincare map, and the second is based on a computerassisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2D mapping and a 1D approximated Poincare mapping in addition to other analytical methods
15 editions published in 2010 in English and held by 1,564 WorldCat member libraries worldwide
This book is based on research on the rigorous proof of chaos and bifurcations in 2D quadratic maps, especially the invertible case such as the Hňon map, and in 3D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and nonchaos in the space of bifurcation parameters. Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2D quadratic map, where previous works are oriented toward Hňon mapping. 2D quadratic maps are then classified into 30 maps with wellknown formulas. Two proofs on the regions for chaos, hyperchaos, and nonchaos in the space of the bifurcation parameters are presented using a technique based on the secondderivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincare map, and the second is based on a computerassisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2D mapping and a 1D approximated Poincare mapping in addition to other analytical methods
Images of a complex world : the art and poetry of chaos by Robin Chapman(
)
22 editions published in 2005 in English and held by 1,561 WorldCat member libraries worldwide
"This coffeetable book will delight and inform general readers curious about ideas of chaos, fractals, and nonlinear complex systems. Developed out of ten years of interdisciplinary seminars in chaos and complex systems at the University of WisconsinMadison, it features multiple ways of knowing: Robin Chapman's poems of everyday experience of change in a complex world, associated metaphorically with Julien Clinton Sprott's fullcolor computer art generated from billions of versions of only three simple equations for strange attractors, Julia sets, and iterated function systems; his definitions of 39 key terms; a mathematical appendix; and even a multiplechoice quiz to test understanding."Jacket
22 editions published in 2005 in English and held by 1,561 WorldCat member libraries worldwide
"This coffeetable book will delight and inform general readers curious about ideas of chaos, fractals, and nonlinear complex systems. Developed out of ten years of interdisciplinary seminars in chaos and complex systems at the University of WisconsinMadison, it features multiple ways of knowing: Robin Chapman's poems of everyday experience of change in a complex world, associated metaphorically with Julien Clinton Sprott's fullcolor computer art generated from billions of versions of only three simple equations for strange attractors, Julia sets, and iterated function systems; his definitions of 39 key terms; a mathematical appendix; and even a multiplechoice quiz to test understanding."Jacket
Frontiers in the study of chaotic dynamical systems with open problems(
)
3 editions published in 2011 in English and held by 1,072 WorldCat member libraries worldwide
This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the stateoftheart of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field
3 editions published in 2011 in English and held by 1,072 WorldCat member libraries worldwide
This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the stateoftheart of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field
Robust chaos and its applications by
Elhadj Zeraoulia(
)
9 editions published between 2010 and 2012 in English and held by 1,072 WorldCat member libraries worldwide
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably selfcontained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general and chaos theory in particular
9 editions published between 2010 and 2012 in English and held by 1,072 WorldCat member libraries worldwide
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably selfcontained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general and chaos theory in particular
Physics demonstrations : a sourcebook for teachers of physics by
Julien C Sprott(
Book
)
15 editions published between 2005 and 2015 in English and held by 559 WorldCat member libraries worldwide
A sourcebook and twoDVD set that describes eightyfive physics demonstrations suitable for performance both in the classroom and beyond that will teach students the practical aspects of physics
15 editions published between 2005 and 2015 in English and held by 559 WorldCat member libraries worldwide
A sourcebook and twoDVD set that describes eightyfive physics demonstrations suitable for performance both in the classroom and beyond that will teach students the practical aspects of physics
Chaos and timeseries analysis by
Julien C Sprott(
Book
)
21 editions published between 2002 and 2013 in English and held by 406 WorldCat member libraries worldwide
21 editions published between 2002 and 2013 in English and held by 406 WorldCat member libraries worldwide
Numerical recipes : routines and examples in BASIC by
Julien C Sprott(
Book
)
26 editions published between 1990 and 1998 in English and Spanish and held by 335 WorldCat member libraries worldwide
26 editions published between 1990 and 1998 in English and Spanish and held by 335 WorldCat member libraries worldwide
Introduction to modern electronics by
Julien C Sprott(
Book
)
10 editions published in 1981 in English and held by 231 WorldCat member libraries worldwide
10 editions published in 1981 in English and held by 231 WorldCat member libraries worldwide
Elegant fractals : automated generation of computer art by
Julien C Sprott(
Book
)
10 editions published between 2018 and 2019 in English and held by 100 WorldCat member libraries worldwide
"Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal. Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail."
10 editions published between 2018 and 2019 in English and held by 100 WorldCat member libraries worldwide
"Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal. Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail."
Strange attractors : creating patterns in chaos by
Julien C Sprott(
Book
)
8 editions published in 1993 in English and Undetermined and held by 86 WorldCat member libraries worldwide
8 editions published in 1993 in English and Undetermined and held by 86 WorldCat member libraries worldwide
Frontiers in the study of chaotic dynamical systems with open problems(
Book
)
9 editions published in 2011 in English and held by 17 WorldCat member libraries worldwide
Machine generated contents note 1 Problems with Lorenz's Modeling and the Algorithm of Chaos Doctrine Y. Lin  1.1 Introduction  1.2 Lorenz's Modeling and Problems of the Model  1.3 Computational Schemes and What Lorenz's Chaos Is  1.4 Discussion  1.5 Appendix: Another Way to Show that Chaos Theory Suffers From Flaws  References  2 Nonexistence of Chaotic Solutions of Nonlinear Differential Equations L.S. Yao  2.1 Introduction  2.2 Open Problems About Nonexistence of Chaotic Solutions  References  3 Some Open Problems in the Dynamics of Quadratic and Higher Degree Polynomial ODE Systems J. Heidel  3.1 First Open Problem  3.2 Second Open Problem  3.3 Third Open Problem  3.4 Fourth Open Problem  3.5 Fifth Open Problem  3.6 Sixth Open Problem  References  4 On Chaotic and Hyperchaotic Complex Nonlinear Dynamical Systems G.M. Mahmoud
9 editions published in 2011 in English and held by 17 WorldCat member libraries worldwide
Machine generated contents note 1 Problems with Lorenz's Modeling and the Algorithm of Chaos Doctrine Y. Lin  1.1 Introduction  1.2 Lorenz's Modeling and Problems of the Model  1.3 Computational Schemes and What Lorenz's Chaos Is  1.4 Discussion  1.5 Appendix: Another Way to Show that Chaos Theory Suffers From Flaws  References  2 Nonexistence of Chaotic Solutions of Nonlinear Differential Equations L.S. Yao  2.1 Introduction  2.2 Open Problems About Nonexistence of Chaotic Solutions  References  3 Some Open Problems in the Dynamics of Quadratic and Higher Degree Polynomial ODE Systems J. Heidel  3.1 First Open Problem  3.2 Second Open Problem  3.3 Third Open Problem  3.4 Fourth Open Problem  3.5 Fifth Open Problem  3.6 Sixth Open Problem  References  4 On Chaotic and Hyperchaotic Complex Nonlinear Dynamical Systems G.M. Mahmoud
Chaos demonstrations by
Julien C Sprott(
)
9 editions published between 1989 and 1995 in English and held by 14 WorldCat member libraries worldwide
A collection of twentytwo demonstrations illustrating chaos in physical and biological systems
9 editions published between 1989 and 1995 in English and held by 14 WorldCat member libraries worldwide
A collection of twentytwo demonstrations illustrating chaos in physical and biological systems
Physics demonstrations by
Julien C Sprott(
)
7 editions published between 1988 and 1993 in English and No Linguistic content and held by 9 WorldCat member libraries worldwide
Physics Demonstrations is a collection of ten computer simulations dealing with the physics of motion and sound
7 editions published between 1988 and 1993 in English and No Linguistic content and held by 9 WorldCat member libraries worldwide
Physics Demonstrations is a collection of ten computer simulations dealing with the physics of motion and sound
Chaos and randomness(
Visual
)
1 edition published in 1990 in English and held by 7 WorldCat member libraries worldwide
Presents a fastpased demonstration and lecture on randomness and chaos. Discusses random walk, fractual chaotic motion, butterfly effect and periodic vs. chaotic events
1 edition published in 1990 in English and held by 7 WorldCat member libraries worldwide
Presents a fastpased demonstration and lecture on randomness and chaos. Discusses random walk, fractual chaotic motion, butterfly effect and periodic vs. chaotic events
Chaos data analyzer by
Julien C Sprott(
)
5 editions published between 1992 and 1995 in English and No Linguistic content and held by 6 WorldCat member libraries worldwide
A collection of 14 programs that allow one to analyze a record of up to 16,382 data points representing some quantity measured at equally spaced intervals. If the interval is a time, the method is referred to as timeseries analysis, and the record is typical of the kind of signal one might display on an oscilloscope. A package which detects chaos in seemingly random data, determines the properties of the underlying equations, analyzes corresponding data points and allows one to predict the next few values in the time series
5 editions published between 1992 and 1995 in English and No Linguistic content and held by 6 WorldCat member libraries worldwide
A collection of 14 programs that allow one to analyze a record of up to 16,382 data points representing some quantity measured at equally spaced intervals. If the interval is a time, the method is referred to as timeseries analysis, and the record is typical of the kind of signal one might display on an oscilloscope. A package which detects chaos in seemingly random data, determines the properties of the underlying equations, analyzes corresponding data points and allows one to predict the next few values in the time series
Fractals coloring book by
Julien C Sprott(
Book
)
1 edition published in 2014 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 5 WorldCat member libraries worldwide
Physics demonstratiosn : IBM PC version 1.2 by
Julien C Sprott(
Book
)
5 editions published between 1989 and 2006 in English and Undetermined and held by 5 WorldCat member libraries worldwide
5 editions published between 1989 and 2006 in English and Undetermined and held by 5 WorldCat member libraries worldwide
The Wonders of physics(
Visual
)
3 editions published between 1987 and 2010 in English and held by 4 WorldCat member libraries worldwide
Basic laws of physics presented with theatrical flourishes. A University of WisconsinMadison, Dept. of Physics special lecture/demonstration which entertains while educating and creating an interest in physics
3 editions published between 1987 and 2010 in English and held by 4 WorldCat member libraries worldwide
Basic laws of physics presented with theatrical flourishes. A University of WisconsinMadison, Dept. of Physics special lecture/demonstration which entertains while educating and creating an interest in physics
Frontiers in the study of chaotic dynamical systems with open problems(
)
1 edition published in 2011 in English and held by 4 WorldCat member libraries worldwide
This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the stateoftheart of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field
1 edition published in 2011 in English and held by 4 WorldCat member libraries worldwide
This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the stateoftheart of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field
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Related Identities
 Zeraoulia, Elhadj Artist Author Editor
 Chapman, Robin S. Author
 World Scientific (Firm)
 Chapman, Robin Author
 Numerical Recipes Software (Firm)
 University of WisconsinMadison Department of Physics
 Rowlands, G. (George)
 Lorenz, Edward N. 19172008 Honoree
 Physics Academic Software
 SpringerLink (Online service) Other
Useful Links
Associated Subjects
ArtMathematics BASIC (Computer program language) Bifurcation theory Biological systems Chaotic behavior in systems Chaotic behavior in systemsMathematics Computer art Computer artTechnique Computerassisted instruction Computer drawing Computer managed instruction Determinism (Philosophy) Differentiable dynamical systems Differential equations, Linear Differential equations, Nonlinear Dynamics Electronic apparatus and appliances Electronic circuits Electronics Flows (Differentiable dynamical systems) Forms, Quadratic Fractals FractalsData processing Fractals in art Lyapunov exponents Mathematical physics Mathematics in art Mathematics in literature MotionComputerassisted instruction Nonlinear theories Numerical analysisComputer programs Physics PhysicsComputerassisted instruction PhysicsComputer programs PhysicsData processing PhysicsExperiments PhysicsStudy and teaching Proof theory Quantum chaos Quantum theory Random walks (Mathematics) ScienceMathematicsComputer programs SoundComputerassisted instruction Stochastic processes Timeseries analysis