Home » Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples by Heinz Hanbmann
Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples Heinz Hanbmann

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

Heinz Hanbmann

Published November 1st 2006
ISBN : 9783540388944
Paperback
237 pages
Enter the sum

 About the Book 

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 givenMoreThis 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.