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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 2024

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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2024-09-22

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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

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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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