scholarly journals FOUR LIMIT CYCLES IN QUADRATIC NEAR-INTEGRABLE SYSTEMS

2011 ◽  
Vol 1 (2) ◽  
pp. 291-298 ◽  
Author(s):  
Pei Yu ◽  
◽  
Maoan Han ◽  
Keyword(s):  
Limit Cycles ◽  
Integrable Systems

scholarly journals FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS

2012 ◽  
Vol 22 (10) ◽  
pp. 1250254 ◽  
Author(s):  
PEI YU ◽  
MAOAN HAN
Keyword(s):  
Integrable System ◽  
Limit Cycles ◽  
Integrable Systems ◽  
Polynomial Systems ◽  
Research Area ◽  
Positive Answer ◽  
Quadratic Polynomials ◽  
Open Question

In this paper, we present four limit cycles in quadratic near-integrable polynomial systems. It is shown that when a quadratic integrable system has two centers and is perturbed by quadratic polynomials, it can generate at least four limit cycles with (3,1)-distribution. This result provides a positive answer to an open question in this research area.

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