Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems

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

出版者:Springer Verlag
作者:Hanbmann, Heinz
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页数:237
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出版时间:
价格:$ 79.04
装帧:Pap
isbn号码:9783540388944
丛书系列:Lecture Notes in Mathematics
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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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