On the number of limit cycles in double homoclinic bifurcations

• 作 者: 韩茂安 陈健
• 机 构: DepartmentofMathematics,ShanghaiJiaoTongUniversity,Shanghai200030,China,China
• 出 处: 中国科学：数学英文版
• 发表日期: 2000年9期
• 关键词: HOMOCLINIC ORBIT BIFURCATION LIMIT cycle. homoclinic orbit bifurcation limit cyc

Let L be a double homoclinic loop of a Hamiltonian system on the plane. We obtain a condition under which L generates at most two large limit cycles by perturbations. We also give conditions for the existence of at most five or six limit cycles which appe