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Local and Semi Local Bifurcations in Hamiltonian Dynamical Systems Book PDF Summary

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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Local and Semi Local Bifurcations in Hamiltonian Dynamical Systems
  • Author : Heinz Hanßmann
  • Release : 18 October 2006
  • Publisher : Springer
  • ISBN : 9783540388968
  • Genre : Mathematics
  • Total Page : 242 pages
  • Language : English
  • PDF File Size : 19,8 Mb

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