| 书目名称 | Shadowing and Hyperbolicity |
| 编辑 | Sergei Yu Pilyugin,Kazuhiro Sakai |
| 视频video | |
| 概述 | Provides a survey of current research and new approaches in the theory of shadowing of approximate trajectories of dynamical systems.Contains novelty approach for proving hyperbolicity by using the si |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical systems, this book surveys recent progress in establishing relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality...Special attention is given to the study of "quantitative" shadowing properties, such as Lipschitz shadowing (it is shown that this property is equivalent to structural stability both for diffeomorphisms and smooth flows), and to the passage to robust shadowing (which is also equivalent to structural stability in the case of diffeomorphisms, while the situation becomes more complicated in the case of flows)...Relations between the shadowing property of diffeomorphisms on their chain transitive sets and the hyperbolicity of such sets are also described...The book will allow young researchers in the field of dynamical systems to gain a better understanding of new ideas in the global qualitative theory. It will also be of interest to specialists in dynamical systems and their applications.. |
| 出版日期 | Book 2017 |
| 关键词 | Dynamical System; Pseudotrajectory; Shadowing; Hyperbolicity; Transversality; Structural Stability |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-65184-2 |
| isbn_softcover | 978-3-319-65183-5 |
| isbn_ebook | 978-3-319-65184-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 16:27:23
