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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Hanbmann, Heinz 作者

Springer Verlag

译者

出版日期

237 页数

$ 79.04 价格

Pap

Lecture Notes in Mathematics 丛书系列

9783540388944 图书编码

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发表于2025-06-02

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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems 在线电子书图书描述

Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way.

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