Local and Semi-Local Bifurcations in Hamiltonian Dynamical by Heinz Hanßmann
By Heinz Hanßmann
This booklet demonstrates that whereas elliptic and hyperbolic tori be sure the distribution of maximal invariant tori, they themselves shape n-parameter households. hence, torus bifurcations of excessive co-dimension could be present in a unmarried given Hamiltonian approach, absent untypical stipulations or exterior parameters. The textual content strikes logically from the integrable case, during which symmetries let for aid to bifurcating equilibria, to non-integrability, the place soft parametrisations has to be changed via Cantor sets.
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