Shadowing in dynamical systems
By: Sergei Yu. Pilyugin.
Series: Lecture notes in mathematics,; 1706; Lecture notes in mathematics (Springer-Verlag) ;; 1706.
Publisher: Springer
Published: 1999
Place of publication: Berlin; New York
Language: eng
Number of pages: 271
Subjects: Shadowing (Differentiable dynamical systems); Differential equations -- Numerical solutions
Description: 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.
Notes: Includes bibliographical references (p. [259]-267) and index.