Shadowing in Dynamical Systems

Front Cover
Springer, Nov 14, 2006 - Mathematics - 276 pages
This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods.

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Shadowing Near an Invariant Set
Topologically Stable Structurally Stable and Generic
Systems with Special Structure
Numerical Applications of Shadowing 219

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