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Mathematics - Analysis | Shadowing in Dynamical Systems

Shadowing in Dynamical Systems

Series: Lecture Notes in Mathematics, Vol. 1706

Pilyugin, Sergei Yu.

1999, XX, 276 p.

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  • About this book

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.

Content Level » Research

Keywords » Homeomorphism - diffeomorphism - differential equatins - dynamical systems - hyperbolic set - shadowing

Related subjects » Analysis - Dynamical Systems & Differential Equations

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