| 书目名称 | Dynamics Beyond Uniform Hyperbolicity | | 副标题 | A Global Geometric a | | 编辑 | Christian Bonatti,Lorenzo J. Díaz,Marcelo Viana | | 视频video | | | 概述 | Viana is one of the best researchers in the field.Covers an immense amount of recent research.Includes supplementary material: | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M . Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n < m. For continuous time systems, the evolution rule may be a differential eq- tion: to each state x G M one associates the speed and direction in which the system is going to evolve from that state. This corresponds to a vector field X(x) in the phase space. Assuming the vector field is sufficien | | 出版日期 | Book 2005 | | 关键词 | attractor; diffeomorphism; dynamical systems; hyperbolicity; physical measure; robustness | | 版次 | 1 | | doi | https://doi.org/10.1007/b138174 | | isbn_softcover | 978-3-642-06041-0 | | isbn_ebook | 978-3-540-26844-4Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 2005 |
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发表于 2025-3-21 17:53:24
