Shadowing in Dynamical Systems

Name: Shadowing in Dynamical Systems
Brand: Springer, Berlin
SKU: 9781441948274
Price: 551.23 RON
Availability: InStock

Theory and Applications

Autor: K.J. Palmer

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Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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In this book the theory of hyperbolic sets is developed, both for diffeomorphisms and flows, with an...

Informații despre carte

Autor

K.J. Palmer

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

299

EAN

9781441948274

ISBN

1441948279

Enbook ID

01423251

Editura

Springer, Berlin

Greutate

486

Dimensiuni

160 x 240 x 16

Descriere completă

In this book the theory of hyperbolic sets is developed, both for diffeomorphisms and flows, with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets are robust under perturbation, that they have an asymptotic phase property and also that the dynamics near a transversal homoclinic orbit is chaotic. It turns out that chaotic dynamical systems arising in practice are not quite hyperbolic. However, they possess enough hyperbolicity to enable us to use shadowing ideas to give computer-assisted proofs that computed orbits of such systems can be shadowed by true orbits for long periods of time, that they possess periodic orbits of long periods and that it is really true that they are chaotic. Audience: This book is intended primarily for research workers in dynamical systems but could also be used in an advanced graduate course taken by students familiar with calculus in Banach spaces and with the basic existence theory for ordinary differential equations.

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Shadowing in Dynamical Systems

Theory and Applications

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Descriere completă

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