Limit Cycles for a Class of Piecewise Smooth Quadratic Differential Systems with Multiple Parameters

作者：Bo, Xuekang; Tian, Yun^*

来源：International Journal of Bifurcation and Chaos, 2016, 26(10): 1650171.

DOI：10.1142/S0218127416501716

• Limit cycle
• Melnikov function
• bifurcation
• isochronous center

This paper considers a class of quadratic differential systems with an isochronous center under small piecewise smooth perturbations. Two perturbation parameters at different scales are included in the system. By using the first order Melnikov function, we obtain some new results on the number of small-amplitude limit cycles bifurcating around an isochronous center.

• 出版日期2016-9
• 单位上海师范大学