Title Geometric methods for discrete dynamical systems / Robert W. Easton

Published New York : Oxford University Press, 1998

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Description 1 online resource (xiii, 157 pages) : illustrations Series Oxford engineering science series ; 50 Oxford engineering science series ; 50. 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 Bibliography Includes bibliographical references (pages 152-154) and index Notes Print version record Subject Differentiable dynamical systems. Iterative methods (Mathematics) MATHEMATICS -- Differential Equations -- Ordinary. Differentiable dynamical systems. Iterative methods (Mathematics) Differentiable dynamical systems Iterative methods (Mathematics) Diskretes System Dynamique différentiable. Itération (mathématiques) Form Electronic book ISBN 1423735234 9781423735236 1601299494 9781601299499 9780195085457 0195085450

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