Abstract
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.
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Supported by NSFC (Grant No. 11771315)
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Ji, G.L., Liu, C.J. & Li, P.H. Bifurcation of Limit Cycles for a Perturbed Piecewise Quadratic Differential Systems. Acta. Math. Sin.-English Ser. 38, 591–611 (2022). https://doi.org/10.1007/s10114-022-0513-z
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DOI: https://doi.org/10.1007/s10114-022-0513-z