Periodic reflecting function of a nonlinear quasiperiodic differential system with a two-frequency basis

2013 ◽  
Vol 49 (10) ◽  
pp. 1323-1327 ◽  
Author(s):  
M. S. Belokurskii ◽  
A. K. Demenchuk
Author(s):  
Yuanshuai Qin ◽  
Peng Zhang ◽  
Hanjie Cai ◽  
Yaling Zhang ◽  
Huan Jia ◽  
...  

2020 ◽  
Vol 18 (1) ◽  
pp. 1164-1172
Author(s):  
Jian Zhou ◽  
Shiyin Zhao

Abstract In this paper, firstly, we study the structural form of reflective integral for a given system. Then the sufficient conditions are obtained to ensure there exists the reflective integral with these structured form for such system. Secondly, we discuss the necessary conditions for the equivalence of such systems and a general three-dimensional differential system. And then, we apply the obtained results to the study of the behavior of their periodic solutions when such systems are periodic systems in t.


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