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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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School of Mathematical & Statistical Sciences, La Trobe University, Bundoora, Australia
Ken Palmer
Bibliographic Information
Book Title: Shadowing in Dynamical Systems
Book Subtitle: Theory and Applications
Authors: Ken Palmer
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/978-1-4757-3210-8
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 2000
Hardcover ISBN: 978-0-7923-6179-4Published: 29 February 2000
Softcover ISBN: 978-1-4419-4827-4Published: 09 December 2010
eBook ISBN: 978-1-4757-3210-8Published: 14 March 2013
Edition Number: 1
Number of Pages: XIV, 300
Topics: Ordinary Differential Equations, Numeric Computing, Mathematics, general