| Description |
1 online resource (xiii, 157 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Oxford engineering science series ; 50
|
|
Oxford engineering science series ; 50.
|
| Bibliography |
Includes bibliographical references (pages 152-154) and index. |
| 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. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Differentiable dynamical systems.
|
|
Differentiable dynamical systems. |
|
Iterative methods (Mathematics)
|
|
Iterative methods (Mathematics) |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Easton, Robert W., 1941- Geometric methods for discrete dynamical systems. New York : Oxford University Press, 1998 (DLC) 97000870 |
| ISBN |
1423735234 (electronic book) |
|
9781423735236 (electronic book) |
|
1601299494 |
|
9781601299499 |
|
0195085450 (alkaline paper) |
|
