[share_ebook] Geometric Methods for Discrete Dynamical Systems (Oxford Engineering Science Series)


Author: Robert W. Easton

Date: 1998-02-19

Pages: 176

Publisher: Oxford University Press, USA

Category: Study

Tag: Mathematics


Posted on 2011-05-19, by sharebookfree.

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Geometric Methods for Discrete Dynamical Systems (Oxford Engineering Science Series)


Geometric Methods for Discrete Dynamical Systems (Oxford Engineering Science Series)
Robert W. Easton | Oxford University Press, USA | 1998-02-19 | 176 pages | English | DJVU

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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