Invariant tori for nearly integrable Hamiltonian systems with degeneracy

被引:133
作者
Xu, JX [1 ]
You, JG [1 ]
Qiu, QJ [1 ]
机构
[1] NANJING UNIV,DEPT MATH,NANJING 210008,PEOPLES R CHINA
关键词
Hamiltonian System; Invariant Torus; Integrable Hamiltonian System;
D O I
10.1007/PL00004344
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:375 / 387
页数:13
相关论文
共 50 条
[41]   Global properties of integrable Hamiltonian systems [J].
O. V. Lukina ;
F. Takens ;
H. W. Broer .
Regular and Chaotic Dynamics, 2008, 13 :602-644
[42]   Kinetic equations and integrable hamiltonian systems [J].
Belokolos E.D. .
Ukrainian Mathematical Journal, 2005, 57 (6) :869-882
[43]   Degenerate invariant manifolds of some completely integrable systems [J].
Médan, C .
MATHEMATISCHE ZEITSCHRIFT, 1999, 232 (04) :665-689
[44]   Degenerate invariant manifolds of some completely integrable systems [J].
Christine Médan .
Mathematische Zeitschrift, 1999, 232 :665-689
[45]   Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable hamiltonian systems. I [J].
A. M. Samoilenko ;
Ya. A. Prikarpatskii .
Ukrainian Mathematical Journal, 1999, 51 (10) :1556-1568
[46]   Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable Hamiltonian systems. II [J].
A. M. Samoilenko ;
Ya A. Prikarpatskii .
Ukrainian Mathematical Journal, 1999, 51 (11) :1713-1728
[47]   Completely Integrable Hamiltonian Systems with Weak Lyapunov Instability or Isochrony [J].
Gaetano Zampieri .
Communications in Mathematical Physics, 2011, 303 :73-87
[48]   Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems [J].
Xu, Junxiang ;
You, Jiangong .
REGULAR & CHAOTIC DYNAMICS, 2020, 25 (06) :616-650
[49]   Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems [J].
Junxiang Xu ;
Jiangong You .
Regular and Chaotic Dynamics, 2020, 25 :616-650
[50]   Birkhoff lower-dimensional tori in Hamiltonian systems [J].
Wang, SL ;
Cheng, CQ .
CHINESE SCIENCE BULLETIN, 1997, 42 (22) :1866-1870