书目名称 | The Space of Dynamical Systems with the C0-Topology |
编辑 | Sergei Yu. Pilyugin |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This book is an introduction to main methods and principalresults in the theory of Co(remark: o is upperindex!!)-small perturbations of dynamical systems. It is thefirst comprehensive treatment of this topic. Inparticular,Co(upper index!)-generic properties of dynamicalsystems,topological stability, perturbations of attractors, limitsets of domains are discussed. The book contains some newresults (Lipschitz shadowing of pseudotrajectories instructurally stable diffeomorphisms forinstance). The aimof the author was to simplify and to "visualize" somebasicproofs, so the main part of the book is accessible tograduatestudents in pure and applied mathematics. The bookwill also be a basic reference for researchers in variousfields of dynamical systems and theirapplications,especially for those who study attractors orpseudotrajectories generated by numerical methods. |
出版日期 | Book 1994 |
关键词 | Attractors; Pertubations; Pseudotrajectories; Topological Stability; diffeomorphism; numerical methods |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0073519 |
isbn_softcover | 978-3-540-57702-7 |
isbn_ebook | 978-3-540-48314-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |