Geometric Methods for Discrete Dynamical Systems by Robert W. Easton

Geometric Methods for Discrete Dynamical Systems

byRobert W. Easton

Hardcover | January 1, 1998

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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 usedto 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. Thebook will be a useful reference for mathematicians, scientists, and engineers studying this field, and an ideal text for graduate courses in dynamical systems.

About The Author

Robert W. Easton is at University of Colorado, Boulder.
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Title:Geometric Methods for Discrete Dynamical SystemsFormat:HardcoverDimensions:176 pages, 6.18 × 9.21 × 0.79 inPublished:January 1, 1998Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0195085450

ISBN - 13:9780195085457

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Table of Contents

1. Examples2. Dynamical Systems3. Hyperbolic Fixed Points4. Isolated Invariant Sets and Isolating Blocks5. The Conley Index6. Symplectic Maps7. Invariant MeasuresAppendix A Metric SpacesAppendix B Numerical Methods for Ordinary Differential EquationsAppendix C Tangent Bundles, Manifolds, and Differential FormsAppendix D Symplectic ManifoldsAppendix E Algebraic TopologyReferencesIndex

Editorial Reviews

"Robert W. Easton's Geometric Methods for Discrete Dynamical Systems can be used as a reference for mathematicians and as a supplement or text for standard mathematics graduate courses in dynamial systems. . . .this book is a useful reference for geometric and topographical aspects ofdynamical systems theory, and it should help these points of view to gain a wider audeince among theoretical and applied non-linear dynamicists." SIAM Review