Analytic invariant curves for an iterative equation related to dissipative standard map

2016 ◽  
Vol 40 (10) ◽  
pp. 3733-3740 ◽  
Author(s):  
Houyu Zhao ◽  
Liu Tian
Keyword(s):  
Invariant Curves ◽  
Standard Map ◽  
Iterative Equation ◽  
Analytic Invariant

scholarly journals Analytic invariant curves for a planar map

2002 ◽  
Vol 15 (5) ◽  
pp. 567-573 ◽  
Author(s):  
Jian-Guo Si ◽  
Xin-Ping Wang ◽  
Wei-Nian Zhang
Keyword(s):  
Invariant Curves ◽  
Planar Map ◽  
Analytic Invariant

The Existence of Analytic Invariant Curves for a Planar Map

2011 ◽  
Vol 225-226 ◽  
pp. 1274-1278
Author(s):  
Ling Xia Liu
Keyword(s):  
Fixed Point ◽  
Two Dimensional ◽  
Complex Field ◽  
Invariant Curves ◽  
Planar Map ◽  
Majorant Series ◽  
Brjuno Condition ◽  
Analytic Invariant

In this paper, we study the existence of analytic invariant curves for two-dimensional maps in the complex field C. Employing the method of majorant series, we discuss the eigenvalueof the mapping at a fixed point. We discuss not only thoseat resonance, i.e., at a root of the unity but also thosenear resonance under Brjuno condition.

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