LIMIT CYCLES NEAR A DOUBLE HOMOCLINIC LOOP
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.
double homoclinic loop limit cycle bifurcation polynomial system
Yang Junmin Han Maoan
Dept. of Math., Shanghai Normal University, Shanghai 200234
国际会议
广州
英文
536-545
2007-12-09(万方平台首次上网日期,不代表论文的发表时间)