Abstract:In this paper, we study the maximum number of limit cycles for the piecewise smooth system of differential equations). Using the averaging method, we were able to generalize a previous result for Liénard systems. In our generalization, we consider g as a polynomial of degree m. We conclude that for sufficiently small values of |ϵ|, the number n 2 + m 2 + 1 serves as a lower bound for the maximum number of limit cycles in this system, which bifurcates from the periodic orbits of the linear center ẋ = y, ẏ = −x.… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.