Elegant Chaos: Algebraically Simple Chaotic Flows

Elegant Chaos: Algebraically Simple Chaotic Flows
Author: Julien Clinton Sprott
Publisher: World Scientific
Total Pages: 302
Release: 2010-03-22
Genre: Mathematics
ISBN: 9814468673


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This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.


Elegant Chaos: Algebraically Simple Chaotic Flows
Language: en
Pages: 302
Authors: Julien Clinton Sprott
Categories: Mathematics
Type: BOOK - Published: 2010-03-22 - Publisher: World Scientific

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This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It include
Elegant Simulations: From Simple Oscillators To Many-body Systems
Language: en
Pages: 325
Authors: Julien Clinton Sprott
Categories: Science
Type: BOOK - Published: 2022-12-20 - Publisher: World Scientific

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A recent development is the discovery that simple systems of equations can have chaotic solutions in which small changes in initial conditions have a large effe
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Authors: Xiong Wang
Categories: Technology & Engineering
Type: BOOK - Published: 2021-12-01 - Publisher: Springer Nature

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This book presents a collection of new articles written by world-leading experts and active researchers to present their recent finding and progress in the new
Elegant Fractals
Language: en
Pages: 268
Authors: Julien Clinton Sprott
Categories: Computers
Type: BOOK - Published: 2018-11-13 - Publisher: World Scientific Publishing

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Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing
Mathematical Constants II
Language: en
Pages: 783
Authors: Steven R. Finch
Categories: Mathematics
Type: BOOK - Published: 2018-12-06 - Publisher: Cambridge University Press

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Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students an