Shadowing in Dynamical Systems

Name: Shadowing in Dynamical Systems
Brand: Springer
SKU: 9780792361794
Price: 44625 HUF
Availability: InStock

Theory and Applications

Szerző: K.J. Palmer

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer

Elérhetőség: Beszállítói készleten

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

Információk a könyvről

Szerző

K.J. Palmer

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2000

oldal

300

EAN

9780792361794

ISBN

0792361792

Enbook ID

01396321

Kiadó

Springer

Súly

1380

Méretek

156 x 234 x 19

Teljes leírás

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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Teljes leírás

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