2016•Unpublished venueRequires access

Qualitative Study on Bifurcation of Limit Cycles for Some Liénard System

Ali E. M. Saeed, Y. Abu

Abstract

The purpose of the present paper is to discuss the existence and uniqueness as well as the number of limit cycles of Lienard and non-Lienard systems using the perturbated method or Melnikov's method. Further, we calculated the number of limit cycles for some problems and compared with the aforesaid method in order to create limit cycles from Hopf-bifurcation using the focal values.

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Available abstract

Key concepts: Mathematics, Limit cycle, Limit (mathematics), Bifurcation, Infinite-period bifurcation, Hopf bifurcation, Uniqueness, Saddle-node bifurcation