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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems : Results and Examples (Paperback)

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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.


Publisher Springer Verlag
Mfg Part# 9783540388944
SKU 203525944
Format Paperback
ISBN10 354038894X
Release Date 4/10/2007
$80.97 + free shipping
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