LIMIT CYCLES NEAR A DOUBLE HOMOCLINIC LOOP  

作　　者：Yang Junmin Han Maoan (Dept.of Math.,Shanghai Normal University,Shanghai 200234) 

出　　处：《Annals of Differential Equations》2007年第4期536-545,共10页微分方程年刊（英文版）

基　　金：the National Natural Science Foundation of China (10671127)

摘　　要：In this article, we study the expansion of the first order Melnikov function in a near-Hamiltonian system on the plane near a double homoclinic loop. We obtain an explicit formula to compute the first four coeffcients, and then identify the method of finding at least 7 limit cycles near the double homoclinic loop using these coefficients. Finally, we present some interesting applications.In this article, we study the expansion of the first order Melnikov function in a near-Hamiltonian system on the plane near a double homoclinic loop. We obtain an explicit formula to compute the first four coeffcients, and then identify the method of finding at least 7 limit cycles near the double homoclinic loop using these coefficients. Finally, we present some interesting applications.

关 键 词：double homoclinic loop limit cycle BIFURCATION polynomial system 

分 类 号：O175[理学—数学]