PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION  

作　　者：白玉真 朱德明 

机构地区：[1]Department of Mathematics Qufu Normal University [2]Department of Mathematics East China Normal University

出　　处：《Acta Mathematica Scientia》2005年第3期481-491,共11页数学物理学报（B辑英文版）

基　　金：Project Supported by NSFC(10071022)

摘　　要：A persistence theorem for resonant invariant tori with non-Hamiltonian perturbation 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.A persistence theorem for resonant invariant tori with non-Hamiltonian perturbation 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.

关 键 词：Normally hyperbolic invariant manifolds invariant tori PERSISTENCE continuation method 

分 类 号：O186.1[理学—数学]