Bifurcation of Limit Cycles for a Perturbed Piecewise Quadratic Differential Systems

• 作者: Gui Lin JI Chang Jian LIU Peng Heng LI
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2022,（3）
• 页码范围: 591-611
• 页数: 21页
• 语种: 英文

摘要

In this paper,the bifurcation of limit cycles for planar piecewise smooth systems is studied which is separated by a straight line.We give a new form of Abelian integrals for piecewise smooth systems which is simpler than before.In application,for piecewise quadratic system the existence of 10 limit cycles and 12 small-amplitude limit cycles is proved respectively.