Elegant chaos : algebraically simple chaotic flows /

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

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Sprott, Julien C.
Format: Électronique eBook
Langue:Inglés
Publié: New Jersey : World Scientific, ©2010.
Sujets:
Flows (Differentiable dynamical systems)
Lyapunov exponents.
Chaotic behavior in systems > Mathematics.
Flots (Dynamique différentiable)
Exposants de Liapounov.
Chaos > Mathématiques.
MATHEMATICS > Differential Equations > General.
Chaotic behavior in systems > Mathematics
Lyapunov exponents
Accès en ligne:Texto completo
Description
Résumé: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.
Description matérielle:1 online resource (xv, 285 pages) : illustrations
Bibliographie:Includes bibliographical references (pages 265-280) and index.
ISBN:9789812838827
9812838821

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