Finding invariant tori with Poincare's map

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Abstract

We consider the existence problem of invariant tori for quasi-periodic equation. We regard quasi-periodic functions with n frequencies as periodic functions of functions with n - 1 frequencies, which constitute a function space. Then we define Poincare's return map of a given semiflow on the space whose fixed point corresponds to an invariant torus of the semiflow.

Original languageEnglish
Pages (from-to)433-443
Number of pages11
JournalCommunications on Pure and Applied Analysis
Volume7
Issue number2
Publication statusPublished - 2008 Mar 1

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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