### 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 language | English |
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Pages (from-to) | 433-443 |

Number of pages | 11 |

Journal | Communications on Pure and Applied Analysis |

Volume | 7 |

Issue number | 2 |

Publication status | Published - 2008 Mar 1 |

### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

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## Cite this

Su, H. W. (2008). Finding invariant tori with Poincare's map.

*Communications on Pure and Applied Analysis*,*7*(2), 433-443.