Dynamical Systems Stability, Symbolic Dynamics and Chaos

ISBN-10: 0849384958
ISBN-13: 9780849384950
Edition: 2nd 1998 (Revised)
Authors: C. Robinson
List price: $159.95
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Description: Several distinctive aspects make Dynamical Systems unique, including: treating the subject from a mathematical perspective with the proofs of most of the results included providing a careful review of background materials introducing ideas through  More...

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Book details

List price: $159.95
Edition: 2nd
Copyright year: 1998
Publisher: CRC Press LLC
Publication date: 11/17/1998
Binding: Hardcover
Pages: 520
Size: 7.25" wide x 10.25" long x 1.25" tall
Weight: 2.398
Language: English

Several distinctive aspects make Dynamical Systems unique, including: treating the subject from a mathematical perspective with the proofs of most of the results included providing a careful review of background materials introducing ideas through examples and at a level accessible to a beginning graduate student focusing on multidimensional systems of real variablesThe book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.

Introduction
One-Dimensional Dynamics by Iteration
Chaos and Its Measurement
Linear Systems
Analysis Near Fixed Points and Periodic Orbits
Hamiltonian Systems
Bifurcation of Periodic Points
Examples of Hyperbolic Sets and Attractors
Measurement of Chaos in Higher Dimensions
Global Theory of Hyperbolic Systems
Generic Properties
Smoothness of Stable Manifolds and Applications
References
Index

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