Dynamical Systems, Graphs, and Algorithms 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Osipenko, George 作者

Springer Verlag

译者

出版日期

283 页数

$ 79.04 价格

Pap

Lecture Notes in Mathematics 丛书系列

9783540355939 图书编码

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发表于2024-11-10

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Dynamical Systems, Graphs, and Algorithms 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Dynamical Systems, Graphs, and Algorithms 在线电子书图书描述

The modern theory and practice of dynamical systems requires the study of structures that fall outside the scope of traditional subjects of mathematical analysis. An important tool to investigate such complicated phenomena as chaos and strange attractors is the method of symbolic dynamics. This book describes a family of the algorithms to study global structure of systems. By a finite covering of the phase space we construct a directed graph (symbolic image) with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used to localize the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, Lyapunov exponents and the Morse spectrum, to verify the hyperbolicity and the structural stability. Considerable information can be obtained thus, and more techniques may be discovered in future research.

Dynamical Systems, Graphs, and Algorithms 在线电子书下载 mobi epub pdf txt 在线电子书下载

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