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Elegant chaos : algebraically simple chaotic flows /

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, Rossler, and many others, but it goes on to show that there are...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sprott, Julien C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, ©2010.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Elegant chaos :  |b algebraically simple chaotic flows /  |c Julien Clinton Sprott. 
260 |a New Jersey :  |b World Scientific,  |c ©2010. 
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504 |a Includes bibliographical references (pages 265-280) and index. 
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520 |a 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, Rossler, 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. 
505 0 |a Preface; Contents; List of Tables; 1. Fundamentals; 2. Periodically Forced Systems; 3. Autonomous Dissipative Systems; 4. Autonomous Conservative Systems; 5. Low-dimensional Systems (D 3); 7. Circulant Systems; 8. Spatiotemporal Systems; 9. Time-Delay Systems; 10. Chaotic Electrical Circuits; Bibliography; Index 
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650 0 |a Flows (Differentiable dynamical systems) 
650 0 |a Lyapunov exponents. 
650 0 |a Chaotic behavior in systems  |x Mathematics. 
650 6 |a Flots (Dynamique différentiable) 
650 6 |a Exposants de Liapounov. 
650 6 |a Chaos  |x Mathématiques. 
650 7 |a MATHEMATICS  |x Differential Equations  |x General.  |2 bisacsh 
650 7 |a Chaotic behavior in systems  |x Mathematics  |2 fast 
650 7 |a Flows (Differentiable dynamical systems)  |2 fast 
650 7 |a Lyapunov exponents  |2 fast 
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