会议专题

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

第六次全国微分方程定性理论会议

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)