✦ LIBER ✦

Geometric Methods for Discrete Dynamical Systems

✍ Scribed by Robert W. Easton

Book ID: 127445031
Publisher: Oxford University Press
Year: 1998
Tongue: English
Weight: 7 MB
Series: Oxford engineering science series 50
Category: Library
City: New York
ISBN: 0195085450

No coin nor oath required. For personal study only.

✦ Synopsis

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

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