Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems

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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems is written by Heinz Hanßmann and published by Springer. It's available with International Standard Book Number or ISBN identification 3540388966 (ISBN 10) and 9783540388968 (ISBN 13).

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.