× Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples Close
Heinz Hanßmann, "Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples "
English | ISBN: 354038894X | 2007 | 258 pages | PDF | 7 MB
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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