Shadowing in Dynamical Systems
Author | : Sergei Yu. Pilyugin |
Publisher | : Springer |
Total Pages | : 284 |
Release | : 2006-11-14 |
ISBN-10 | : 9783540484295 |
ISBN-13 | : 3540484299 |
Rating | : 4/5 (95 Downloads) |
Download or read book Shadowing in Dynamical Systems written by Sergei Yu. Pilyugin and published by Springer. This book was released on 2006-11-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.