Geometric Methods for Discrete Dynamical Systems


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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 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 ...

Geometric Methods for Discrete Dynamical Systems 1998, Oxford University Press, USA, New York, NY

ISBN-13: 9780195085457