symplectic mappings
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2017 ◽  
Vol 2017 ◽  
pp. 1-10
Author(s):  
Shunjun Jiang

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.


2015 ◽  
Vol 29 (1) ◽  
pp. 131-154 ◽  
Author(s):  
Xuezhu Lu ◽  
Jia Li ◽  
Junxiang Xu

2011 ◽  
Vol 111 (3) ◽  
pp. 285-307 ◽  
Author(s):  
N. P. Maffione ◽  
L. A. Darriba ◽  
P. M. Cincotta ◽  
C. M. Giordano
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