Persistence of Hyperbolic Tori in Generalized Hamiltonian Systems

作     者：柳振鑫 伊贺达赉 黄庆道 LIU Zhen-xin;YIHE Da-lai;HUANG Qing-dao

作者机构：School of MathematicsJilin UniversityChangchun130012 

出 版 物：《Northeastern Mathematical Journal》 (东北数学（英文版）)

年 卷 期：2005年第21卷第4期

页      面：447-464页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：hyperbolic invariant tori KAM theorem generalized Hamiltonian system 

摘      要：In this paper we prove the persistence of hyperbolic invariant tori in generalized Hamiltonian systems, which may admit a distinct number of action and angle variables. The systems under consideration can be odd dimensional in tangent direction. Our results generalize the well-known results of Graft and Zehnder in standard Hamiltonians. In our case the unperturbed Hamiltonian systems may be degenerate. We also consider the persistence problem of hyperbolic tori on submanifolds.