Local And Semi Local Bifurcations In Hamiltonian Dynamical Systems By Heinz Hanßman

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Local And Semi Local Bifurcations In Hamiltonian Dynamical Systems By Heinz Hanßman

Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples (Lecture Notes in Mathematics) by Heinz Hanßmann
English | Nov 14, 2006 | ISBN: 354038894X | 247 Pages | PDF | 7 MB


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This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters.

The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.

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Tags: Bifurcations, Hamiltonian, Dynamical, Systems

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