### 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 |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

### Cite this

*Communications on Pure and Applied Analysis*,

*7*(2), 433-443.

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*Communications on Pure and Applied Analysis*, vol. 7, no. 2, pp. 433-443.

**Finding invariant tori with Poincare's map.** / Su, Hsuan Wen.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Finding invariant tori with Poincare's map

AU - Su, Hsuan Wen

PY - 2008/3/1

Y1 - 2008/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=42149085558&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42149085558&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:42149085558

VL - 7

SP - 433

EP - 443

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

SN - 1534-0392

IS - 2

ER -