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Geometric methods for discrete dynamical systems [electronic resource] / Robert W. Easton.

By: Easton, Robert W, 1941-.
Material type: TextTextSeries: Oxford engineering science series: 50.Publisher: New York : Oxford University Press, 1998Description: 1 online resource (xiii, 157 p.) : ill.ISBN: 1423735234 (electronic bk.); 9781423735236 (electronic bk.); 1601299494; 9781601299499.Subject(s): Differentiable dynamical systems | Iterative methods (Mathematics) | Electronic books | MATHEMATICS -- Differential Equations -- Ordinary | Dynamique diff�erentiable | It�eration (math�ematiques) | Diskretes SystemGenre/Form: Electronic books. | Electronic books.Additional physical formats: Print version:: Geometric methods for discrete dynamical systems.DDC classification: 515/.352 Other classification: SK 810 Online resources: EBSCOhost
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.
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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.

Description based on print version record.

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Other editions of this work

Geometric methods for discrete dynamical systems by Easton, Robert W., ©1998
Geometric methods for discrete dynamical systems by Easton, Robert W., ©1998
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