Nonuniform Hyperbolicity 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Barreira, Luis/ Pesin, Yakov 作者

Cambridge Univ Pr

译者

2007-9 出版日期

528 页数

$ 164.98 价格

HRD

丛书系列

9780521832588 图书编码

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Nonuniform Hyperbolicity 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this book presents a self-contained and comprehensive account of modern smooth ergodic theory. Among other things, this provides a rigorous mathematical foundation for the phenomenon known as deterministic chaos - the appearance of 'chaotic' motions in pure deterministic dynamical systems. A sufficiently complete description of topological and ergodic properties of systems exhibiting deterministic chaos can be deduced from relatively weak requirements on their local behavior known as nonuniform hyperbolicity conditions. Nonuniform hyperbolicity theory is an important part of the general theory of dynamical systems. Its core is the study of dynamical systems with nonzero Lyapunov exponents both conservative and dissipative, in addition to cocycles and group actions. The results of this theory are widely used in geometry (e.g., geodesic flows and Teichmuller flows), in rigidity theory, in the study of some partial differential equations (e.g., the Schrodinger equation), in the theory of billiards, as well as in applications to physics, biology, engineering, and other fields.

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