Shadowing in Dynamical Systems

Name: Shadowing in Dynamical Systems
Brand: Springer
SKU: 9780792361794
Price: 470.49 PLN
Availability: InStock

Theory and Applications

Autor: K.J. Palmer

Język:

Oprawa: Twarda

Wydawca: Springer

Dostępność: Dostępna u dostawcy w małych ilościach

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470.49 zł

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

Informacje o książce

Autor

K.J. Palmer

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2000

strony

300

EAN

9780792361794

ISBN

0792361792

Enbook ID

01396321

Wydawca

Springer

Waga

1380

Wymiary

156 x 234 x 19

Pełny opis

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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