Geometric methods for discrete dynamical systems /
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| 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: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11163661 |
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| 100 | 1 | |a Easton, Robert W., |d 1941- |0 http://id.loc.gov/authorities/names/n97009581 | |
| 245 | 1 | 0 | |a Geometric methods for discrete dynamical systems / |c Robert W. Easton. |
| 260 | |a New York : |b Oxford University Press, |c 1998. | ||
| 300 | |a 1 online resource (xiii, 157 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 490 | 1 | |a Oxford engineering science series ; |v 50 | |
| 504 | |a Includes bibliographical references (pages 152-154) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Differentiable dynamical systems. |0 http://id.loc.gov/authorities/subjects/sh85037882 | |
| 650 | 0 | |a Iterative methods (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85069058 | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Ordinary. |2 bisacsh | |
| 650 | 0 | 7 | |a Differentiable dynamical systems. |2 cct |
| 650 | 0 | 7 | |a Iterative methods (Mathematics) |2 cct |
| 650 | 7 | |a Differentiable dynamical systems. |2 fast |0 (OCoLC)fst00893426 | |
| 650 | 7 | |a Iterative methods (Mathematics) |2 fast |0 (OCoLC)fst00980827 | |
| 650 | 7 | |a Diskretes System |2 gnd |0 http://d-nb.info/gnd/4401225-1 | |
| 650 | 7 | |a Dynamique différentiable. |2 ram | |
| 650 | 7 | |a Itération (mathématiques) |2 ram | |
| 655 | 0 | |a Electronic book. | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Easton, Robert W., 1941- |t Geometric methods for discrete dynamical systems. |d New York : Oxford University Press, 1998 |w (DLC) 97000870 |
| 830 | 0 | |a Oxford engineering science series ; |v 50. |0 http://id.loc.gov/authorities/names/n42004089 | |
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| 928 | |t Library of Congress classification |a QA614.8 .E27 1998eb |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=143847 |z eBooks on EBSCOhost |g ebooks |i 12248372 | ||