| 书目名称 | Dynamics of One-Dimensional Maps | | 编辑 | A. N. Sharkovsky,S. F. Kolyada,V. V. Fedorenko | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | maps whose topological entropy is equal to zero (i.e., maps that have only cyeles of pe 2 riods 1,2,2 , ... ) are studied in detail and elassified. Various topological aspects of the dynamics of unimodal maps are studied in Chap ter 5. We analyze the distinctive features of the limiting behavior of trajectories of smooth maps. In particular, for some elasses of smooth maps, we establish theorems on the number of sinks and study the problem of existence of wandering intervals. In Chapter 6, for a broad elass of maps, we prove that almost all points (with respect to the Lebesgue measure) are attracted by the same sink. Our attention is mainly focused on the problem of existence of an invariant measure absolutely continuous with respect to the Lebesgue measure. We also study the problem of Lyapunov stability of dynamical systems and determine the measures of repelling and attracting invariant sets. The problem of stability of separate trajectories under perturbations of maps and the problem of structural stability of dynamical systems as a whole are discussed in Chap ter 7. In Chapter 8, we study one-parameter families of maps. We analyze bifurcations of periodic trajectories and p | | 出版日期 | Book 1997 | | 关键词 | DEX; Invariant; Volume; behavior; boundary element method; dynamical systems; eXist; nonlinear dynamics; onl | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-8897-3 | | isbn_softcover | 978-90-481-4846-2 | | isbn_ebook | 978-94-015-8897-3 | | copyright | Springer Science+Business Media Dordrecht 1997 |
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发表于 2025-3-21 19:02:41
