Invariant tori for nearly integrable Hamiltonian systems with degeneracy

被引：128

作者：

Xu, JX ^{[1
]}

You, JG ^{[1
]}

Qiu, QJ ^{[1
]}

机构：

[1] NANJING UNIV,DEPT MATH,NANJING 210008,PEOPLES R CHINA

来源：

MATHEMATISCHE ZEITSCHRIFT | 1997年 / 226卷 / 03期

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

页码：375 / 387

页数：13

共 50 条

[1] Invariant tori for nearly integrable Hamiltonian systems with degeneracy
Junxiang Xu
Jiangong You
Qingjiu Qiu
Mathematische Zeitschrift, 1997, 226 : 375 - 387
[2] Corrigendum for the paper “Invariant tori for nearly integrable Hamiltonian systems with degeneracy”
Junxiang Xu
Jiangong You
Mathematische Zeitschrift, 2007, 257 : 939 - 939
[3] Invariant tori for nearly integrable Hamiltonian systems with degeneracy (Vol 257, pg 939, 2007)
Junxiang Xu
Jiangong You
MATHEMATISCHE ZEITSCHRIFT, 2007, 257 (04) : 939 - 939
[4] On Invariant Tori of Nearly Integrable Hamiltonian Systems with Quasiperiodic Perturbation
Dongfeng Zhang
Rong Cheng
Fixed Point Theory and Applications, 2010
[5] Homoclinic orbits for invariant tori of nearly integrable Hamiltonian systems
Koltsova, O. Yu.
Lerman, L. M.
Delshams, A.
Gutierrez, P.
DOKLADY MATHEMATICS, 2006, 73 (02) : 217 - 220
[6] Homoclinic orbits for invariant tori of nearly integrable Hamiltonian systems
O. Yu. Koltsova
L. M. Lerman
A. Delshams
P. Gutiérrez
Doklady Mathematics, 2006, 73 : 217 - 220
[7] Minimal invariant tori in the resonant regions for nearly integrable Hamiltonian systems
Cheng, CQ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (12) : 5067 - 5095
[8] Invariant Tori in Hamiltonian Systems with High Order Proper Degeneracy
Yuecai Han
Yong Li
Yingfei Yi
Annales Henri Poincaré, 2010, 10 : 1419 - 1436
[9] Lower Dimensional Invariant Tori in the Regions of Instability for Nearly Integrable Hamiltonian Systems
Chong-Qing Cheng
Communications in Mathematical Physics, 1999, 203 : 385 - 419
[10] Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Russmann's non-degeneracy condition
Xu, Junxiang
You, Jiangong
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 235 (02) : 609 - 622

← 1 2 3 4 5 →