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

Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
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发表于2025-01-10

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

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

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


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出版者:Springer Verlag
作者:Hanbmann, Heinz
出品人:
页数:237
译者:
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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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems 2025 pdf epub mobi 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.

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