Geometric Methods for Discrete Dynamical Systems
Gebonden Engels 1998 9780195085457Samenvatting
This book is intended to be a useful reference for mathematicians, scientists, and engineers who are studying dynamical systems. Dynamics is viewed as an iteration process where the output of a function is fed back as input to determine the evolution in time of the initial state. Errors which arise from round-off in numerical simulations or from the inexactness of tthe mathematical models used to describe a process, or from the effects of external controls are incorporated into the theory. Conley's ideas about rough orbits and chain-recurrence play a central role. Generally the exposition is at the beginning graduate level and presupposes familiarity with basic courses in linear algebra and differential equations.
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