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Lower-dimensional tori for generic Hamiltonian systems
Chinese Science Bulletin
◽
10.1007/bf02885962
◽
1999
◽
Vol 44
(13)
◽
pp. 1187-1191
◽
Cited By ~ 2
Author(s):
Shaoli Wang
◽
Chongqing Cheng
Keyword(s):
Hamiltonian Systems
◽
Lower Dimensional Tori
◽
Lower Dimensional
Download Full-text
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Cited By
References
Persistence of lower dimensional tori of general types in Hamiltonian systems
Transactions of the American Mathematical Society
◽
10.1090/s0002-9947-04-03564-0
◽
2004
◽
Vol 357
(4)
◽
pp. 1565-1600
◽
Cited By ~ 28
Author(s):
Yong Li
◽
Yingfei Yi
Keyword(s):
Hamiltonian Systems
◽
Lower Dimensional Tori
◽
Lower Dimensional
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KAM Theory for Lower Dimensional Tori of Nearly Integrable Hamiltonian Systems
Progress In Nonlinear Analysis
◽
10.1142/9789812792730_0026
◽
2000
◽
pp. 409-422
◽
Cited By ~ 1
Author(s):
Jiangong You
Keyword(s):
Hamiltonian Systems
◽
Kam Theory
◽
Integrable Hamiltonian Systems
◽
Lower Dimensional Tori
◽
Nearly Integrable Hamiltonian Systems
◽
Lower Dimensional
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The Surviving of Lower Dimensional Tori from a Resonant Torus of Hamiltonian Systems
Journal of Differential Equations
◽
10.1006/jdeq.1998.3586
◽
1999
◽
Vol 155
(2)
◽
pp. 311-326
◽
Cited By ~ 12
Author(s):
Chong-Qing Cheng
◽
Shaoli Wang
Keyword(s):
Hamiltonian Systems
◽
Lower Dimensional Tori
◽
Lower Dimensional
Download Full-text
On elliptic lower dimensional tori in hamiltonian systems
Mathematische Zeitschrift
◽
10.1007/bf01221590
◽
1989
◽
Vol 202
(4)
◽
pp. 559-608
◽
Cited By ~ 162
Author(s):
J�rgen P�schel
Keyword(s):
Hamiltonian Systems
◽
Lower Dimensional Tori
◽
Lower Dimensional
Download Full-text
Lower-Dimensional Tori in Multi-Scale, Nearly Integrable Hamiltonian Systems
Annales Henri Poincaré
◽
10.1007/s00023-016-0516-3
◽
2016
◽
Vol 18
(1)
◽
pp. 53-83
◽
Cited By ~ 6
Author(s):
Lu Xu
◽
Yong Li
◽
Yingfei Yi
Keyword(s):
Hamiltonian Systems
◽
Integrable Hamiltonian Systems
◽
Multi Scale
◽
Lower Dimensional Tori
◽
Nearly Integrable Hamiltonian Systems
◽
Lower Dimensional
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On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann’s non-degeneracy condition
Nonlinear Analysis
◽
10.1016/j.na.2006.02.018
◽
2007
◽
Vol 66
(8)
◽
pp. 1675-1685
◽
Cited By ~ 5
Author(s):
Shaoping Wang
◽
Dongfeng Zhang
◽
Junxiang Xu
Keyword(s):
Hamiltonian Systems
◽
Degeneracy Condition
◽
Lower Dimensional Tori
◽
Lower Dimensional
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The persistence of elliptic lower dimensional tori with prescribed frequency for Hamiltonian systems
Electronic journal of qualitative theory of differential equations
◽
10.14232/ejqtde.2015.1.10
◽
2015
◽
pp. 1-12
Author(s):
Xuezhu Lu
◽
Junxiang Xu
◽
Yuedong Kong
Keyword(s):
Hamiltonian Systems
◽
Lower Dimensional Tori
◽
Lower Dimensional
Download Full-text
On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems
Nonlinearity
◽
10.1088/0951-7715/10/4/001
◽
1997
◽
Vol 10
(4)
◽
pp. 783-822
◽
Cited By ~ 55
Author(s):
Àngel Jorba
◽
Jordi Villanueva
Keyword(s):
Hamiltonian Systems
◽
Normal Behaviour
◽
Lower Dimensional Tori
◽
Lower Dimensional
Download Full-text
Birkhoff lower-dimensional tori in hamiltonian systems
Chinese Science Bulletin
◽
10.1007/bf02882777
◽
1997
◽
Vol 42
(22)
◽
pp. 1866-1870
◽
Cited By ~ 2
Author(s):
Shaoli Wang
◽
Chongqing Cheng
Keyword(s):
Hamiltonian Systems
◽
Lower Dimensional Tori
◽
Lower Dimensional
Download Full-text
On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition
Discrete and Continuous Dynamical Systems
◽
10.3934/dcds.2006.16.635
◽
2006
◽
Vol 16
(3)
◽
pp. 635-655
◽
Cited By ~ 10
Author(s):
Dongfeng Zhang
◽
◽
Junxiang Xu
◽
Keyword(s):
Hamiltonian Systems
◽
Degeneracy Condition
◽
Lower Dimensional Tori
◽
Lower Dimensional
Download Full-text
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