Geometric methods for discrete dynamical systems /

Geometric methods for discrete dynamical systems /

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Bibliographic Details
Author / Creator:	Easton, Robert W., 1941-
Imprint:	New York : Oxford University Press, 1998.
Description:	1 online resource (xiii, 157 pages) : illustrations.
Language:	English
Series:	Oxford engineering science series ; 50 Oxford engineering science series ; 50.
Subject:	Differentiable dynamical systems. Iterative methods (Mathematics) Differentiable dynamical systems. Iterative methods (Mathematics) Electronic book.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11163661

Hidden Bibliographic Details
ISBN:	1423735234 9781423735236 1601299494 9781601299499 9780195085457 0195085450 0195085450
Digital file characteristics:	data file
Notes:	Includes bibliographical references (pages 152-154) and index. Print version record.
Summary:	This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book wi.
Other form:	Print version: Easton, Robert W., 1941- Geometric methods for discrete dynamical systems. New York : Oxford University Press, 1998

Table of Contents:

1 Examples; 2 Dynamical Systems; 3 Hyperbolic Fixed Points; 4 Isolated Invariant Sets and Isolating Blocks; 5 The Conley Index; 6 Symplectic Maps; 7 Invariant Measures; Appendix A: Metric Spaces; Appendix B: Numerical Methods for Ordinary Differential Equations; Appendix C: Tangent Bundles, Manifolds, and Differential Forms; Appendix D: Symplectic Manifolds; Appendix E: Algebraic Topology; References; Index.