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Elegant Chaos: Algebraically Simple Chaotic Flows

Af: Julien Clinton Sprott Engelsk Paperback

Elegant Chaos: Algebraically Simple Chaotic Flows

Af: Julien Clinton Sprott Engelsk Paperback
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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.

 

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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.

 

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 304
ISBN-13: 9789813203549
Indbinding: Paperback
Udgave:
ISBN-10: 9813203544
Kategori: Kompleks analyse, komplekse variabler
Udg. Dato: 6 apr 2010
Længde: 20mm
Bredde: 228mm
Højde: 152mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 6 apr 2010
Forfatter(e): Julien Clinton Sprott
Forfatter(e) Julien Clinton Sprott

Kategori Kompleks analyse, komplekse variabler

ISBN-13 9789813203549

Sprog Engelsk

Indbinding Paperback

Sider 304

Udgave

Længde 20mm

Bredde 228mm

Højde 152mm

Udg. Dato 6 apr 2010

Oplagsdato 6 apr 2010

Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge