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Titlebook: Dynamical Systems by Example; Luís Barreira,Claudia Valls Textbook 2019 Springer Nature Switzerland AG 2019 problems dynamical systems.exe

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书目名称Dynamical Systems by Example
编辑Luís Barreira,Claudia Valls
视频video
概述Excellent companion to a dynamical systems textbook.Includes large variety of problems and accompanying solutions.Problems range from simple to complex.Emphasis on dynamical systems with discrete time
丛书名称Problem Books in Mathematics
图书封面Titlebook: Dynamical Systems by Example;  Luís Barreira,Claudia Valls Textbook 2019 Springer Nature Switzerland AG 2019 problems dynamical systems.exe
描述.This book comprises an impressive collection of problems that cover a variety of carefully selected topics on the core of the theory of dynamical systems. Aimed at the graduate/upper undergraduate level, the emphasis is on dynamical systems with discrete time. In addition to the basic theory, the topics include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as basic ergodic theory. As in other areas of mathematics, one can gain the first working knowledge of a topic by solving selected problems. It is rare to find large collections of problems in an advanced field of study much less to discover accompanying detailed solutions. This text fills a gap and can be used as a strong companion to an analogous dynamical systems textbook such as the authors’ own .Dynamical Systems. (Universitext, Springer) or another text designed for a one- or two-semester advanced undergraduate/graduate course. The book is also intended for independent study...Problems often begin with specific cases and then move on to general results, following a natural path of learning. They are also well-graded in terms of increasing the challenge to the reader. Anyone who works through the t
出版日期Textbook 2019
关键词problems dynamical systems; exercises dynamical systems; dynamical systems; topological dynamics; low-di
版次1
doihttps://doi.org/10.1007/978-3-030-15915-3
isbn_ebook978-3-030-15915-3Series ISSN 0941-3502 Series E-ISSN 2197-8506
issn_series 0941-3502
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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Ergodic Theoryirkhoff’s ergodic theorem. We also consider briefly the notion of metric entropy of an invariant probability measure. The prerequisites from measure theory and integration theory are briefly recalled in the initial section.
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Basic Theoryy differential equations and their flows. We also consider some basic constructions that determine new dynamical systems, including suspension semiflows, Poincaré sections, and Poincaré maps. We refer the reader to [3, 10, 20, 22] for additional topics.
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Topological Dynamicsoint, nonwandering point, and minimal set. We also consider the notions of topological transitivity, topological mixing, and topological conjugacy, as well as topological entropy. We refer the reader to [16, 17, 48] for additional topics.
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Hyperbolic Dynamicslogical conjugacies near a hyperbolic fixed point. Moreover, we consider briefly geodesic flows on the upper half plane and their hyperbolicity. We refer the reader to [28, 40, 41, 50, 54] for additional topics.
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0941-3502 to complex.Emphasis on dynamical systems with discrete time.This book comprises an impressive collection of problems that cover a variety of carefully selected topics on the core of the theory of dynamical systems. Aimed at the graduate/upper undergraduate level, the emphasis is on dynamical system
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