Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems

Released on by Heinz Hanßmann
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  • Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems Book Detail

  • Author : Heinz Hanßmann
  • Release Date : 2006-10-18
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 248
  • ISBN 13 : 3540388966
  • File Size : 51,51 MB
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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems by Heinz Hanßmann PDF Summary

Book Description: 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.

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Bifurcations in Hamiltonian Systems

Bifurcations in Hamiltonian Systems

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The authors consider applications of singularity theory and computer algebra to bifurcations of Hamiltonian dynamical systems. They restrict themselves to the c