Title of article :
Limit cycles of some polynomial Liénard systems
Author/Authors :
Xu، نويسنده , , Weijiao and Li، نويسنده , , Cuiping، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2012
Abstract :
In this paper, we study the number of limit cycles of some polynomial Liénard systems. By the Melnikov functions and the methods of Hopf, homoclinic and heteroclinic bifurcation theory, we prove that H ( 2 , 5 ) ⩾ 3 , H ( 4 , 5 ) ⩾ 5 , H ( 6 , 5 ) ⩾ 10 , H ( 8 , 5 ) ⩾ 10 .
Keywords :
Liénard system , Homoclinic loop , Heteroclinic loop , Melnikov function
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
