Persistence of Lower Dimensional Hyperbolic Invariant Tori for Nearly Integrable Symplectic Mappings

2014 ◽  
Vol 13 (2) ◽  
pp. 269-288 ◽  
Author(s):  
Qiaoyan Bi ◽  
Junxiang Xu
Keyword(s):  
Invariant Tori ◽  
Symplectic Mappings ◽  
Lower Dimensional

scholarly journals A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings

2017 ◽  
Vol 2017 ◽  
pp. 1-10
Author(s):  
Shunjun Jiang
Keyword(s):  
Generating Functions ◽  
Invariant Tori ◽  
Kam Theorem ◽  
Symplectic Mappings ◽  
Lower Dimensional

This paper develops a new KAM theorem for a class of lower dimensional elliptic invariant tori of nearly integrable symplectic mappings with generating functions but without assuming any nondegenerate condition.

The hyperbolic invariant tori of symplectic mappings

2008 ◽  
Vol 68 (1) ◽  
pp. 109-126 ◽  
Author(s):  
Wenzhuang Zhu ◽  
Baifeng Liu ◽  
Zhenxin Liu
Keyword(s):  
Invariant Tori ◽  
Symplectic Mappings
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