Shadowing in Dynamical Systems

• Main Author: Pilyugin, Sergei Yu (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: Lecture Notes in Mathematics, 1706
• Subjects: Global analysis (Mathematics).; Manifolds (Mathematics).; Dynamics.; Ergodic theory.; Global Analysis and Analysis on Manifolds.; Dynamical Systems and Ergodic Theory.
• Physical Description: XX, 276 p. online resource.
• ISBN: 9783540484295
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0093184

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.