Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems pdf epub mobi txt 電子書下載 2024

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Hanbmann, Heinz

Springer Verlag

237

$ 79.04

Pap

Lecture Notes in Mathematics

9783540388944

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发表于2024-09-20

Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems pdf epub mobi txt 電子書下載 2024

圖書描述

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 下載 mobi epub pdf txt 電子書