Item description for Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples (Lecture Notes in Mathematics) by Heinz Hanßmann...
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.
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Est. Packaging Dimensions: Length: 9.21" Width: 6.14" Height: 0.55" Weight: 0.93 lbs.
Release Date Nov 14, 2006
ISBN 354038894X ISBN13 9783540388944
Availability 121 units. Availability accurate as of Mar 28, 2017 09:45.
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