Abstract
In this paper, we study a type of polynomial Liénard system of degree m(m≥2) with polynomial perturbations of degree n. We prove that the first order Melnikov function of such system has at most n+1−[n+1m+1] independent perturbation parameters which can be used to simplify this kind of systems. As an application, we study a type of Lienard systems for m=4,n=19,28 and obtain the new lower bounds of the maximal number of limit cycles.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
