Geometric methods for discrete dynamical systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York
Oxford University Press
1998
|
| Schriftenreihe: | Oxford engineering science series
50 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 152-154) and index 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 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 |
| Beschreibung: | 1 Online-Ressource (xiii, 157 p.) |
| ISBN: | 0195085450 1423735234 1601299494 9781423735236 9781601299499 |
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| 100 | 1 | |a Easton, Robert W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Geometric methods for discrete dynamical systems |c Robert W. Easton |
| 264 | 1 | |a New York |b Oxford University Press |c 1998 | |
| 300 | |a 1 Online-Ressource (xiii, 157 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Oxford engineering science series |v 50 | |
| 500 | |a Includes bibliographical references (p. 152-154) and index | ||
| 500 | |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 | ||
| 500 | |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 | ||
| 650 | 7 | |a MATHEMATICS / Differential Equations / Ordinary |2 bisacsh | |
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| 650 | 7 | |a Itération (mathématiques) |2 ram | |
| 650 | 7 | |a Diskretes System |2 swd | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Iterative methods (Mathematics) | |
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Datensatz im Suchindex
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| author | Easton, Robert W. |
| author_facet | Easton, Robert W. |
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| dewey-full | 515/.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.352 |
| dewey-search | 515/.352 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043143855 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:48Z |
| institution | BVB |
| isbn | 0195085450 1423735234 1601299494 9781423735236 9781601299499 |
| language | English |
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| physical | 1 Online-Ressource (xiii, 157 p.) |
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| spelling | Easton, Robert W. Verfasser aut Geometric methods for discrete dynamical systems Robert W. Easton New York Oxford University Press 1998 1 Online-Ressource (xiii, 157 p.) txt rdacontent c rdamedia cr rdacarrier Oxford engineering science series 50 Includes bibliographical references (p. 152-154) and index 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 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 MATHEMATICS / Differential Equations / Ordinary bisacsh Dynamique différentiable ram Itération (mathématiques) ram Diskretes System swd Differentiable dynamical systems Iterative methods (Mathematics) Diskretes System (DE-588)4401225-1 gnd rswk-swf Diskretes System (DE-588)4401225-1 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=143847 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Easton, Robert W. Geometric methods for discrete dynamical systems MATHEMATICS / Differential Equations / Ordinary bisacsh Dynamique différentiable ram Itération (mathématiques) ram Diskretes System swd Differentiable dynamical systems Iterative methods (Mathematics) Diskretes System (DE-588)4401225-1 gnd |
| subject_GND | (DE-588)4401225-1 |
| title | Geometric methods for discrete dynamical systems |
| title_auth | Geometric methods for discrete dynamical systems |
| title_exact_search | Geometric methods for discrete dynamical systems |
| title_full | Geometric methods for discrete dynamical systems Robert W. Easton |
| title_fullStr | Geometric methods for discrete dynamical systems Robert W. Easton |
| title_full_unstemmed | Geometric methods for discrete dynamical systems Robert W. Easton |
| title_short | Geometric methods for discrete dynamical systems |
| title_sort | geometric methods for discrete dynamical systems |
| topic | MATHEMATICS / Differential Equations / Ordinary bisacsh Dynamique différentiable ram Itération (mathématiques) ram Diskretes System swd Differentiable dynamical systems Iterative methods (Mathematics) Diskretes System (DE-588)4401225-1 gnd |
| topic_facet | MATHEMATICS / Differential Equations / Ordinary Dynamique différentiable Itération (mathématiques) Diskretes System Differentiable dynamical systems Iterative methods (Mathematics) |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=143847 |
| work_keys_str_mv | AT eastonrobertw geometricmethodsfordiscretedynamicalsystems |