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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems|Heinz Hanßmann

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

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Overview

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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Details

  • ISBN-13: 9783540388944
  • ISBN-10: 354038894X
  • Publisher: Springer
  • Publish Date: October 2006
  • Dimensions: 9.24 x 6.38 x 0.6 inches
  • Shipping Weight: 0.89 pounds
  • Page Count: 242

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