PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION

数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (3): 481-491.

PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION

白玉真,朱德明

Department of Mathematics, Qufu Normal University, Qufu 273165, China
Department of Mathematics, East China Normal University, Shanghai 200062, China

出版日期:2005-07-20 发布日期:2005-07-20
基金资助:
. Project Supported by NSFC(10071022)

PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION

BAI Yu-Zhen, SHU De-Meng

Online:2005-07-20 Published:2005-07-20
Supported by:
. Project Supported by NSFC(10071022)

摘要/Abstract

摘要：

A persistence theorem for resonant invariant tori with non-Hamiltonian per-
turbation is proved. The method is a combination of the theory of normally hyperbolic
invariant manifolds and an appropriate continuation method. The results obtained are
extensions of Chicone’s for the three dimensional non-Hamiltonian systems.

Abstract:

Key words: Normally hyperbolic invariant manifolds, invariant tori, persistence,;contin-
uation method

中图分类号:

34C15

白玉真, 朱德明. PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION[J]. 数学物理学报(英文版), 2005, 25(3): 481-491.

BAI Yu-Zhen, SHU De-Meng. PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION[J]. Acta mathematica scientia,Series B, 2005, 25(3): 481-491.

PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION

PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION

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