THE POINCAR BIFURCATION OF A CUBIC HAMILTONIAN SYSTEM WITH HOMOCLINIC LOOP
THE POINCAR BIFURCATION OF A CUBIC HAMILTONIAN SYSTEM WITH HOMOCLINIC LOOP出 版 物:《Annals of Differential Equations》 (微分方程年刊(英文版))
年 卷 期:2006年第22卷第3期
页 面:283-287页
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:homoclinic loop cubic Hamiltonian system Poincare bifurcation Abel integral limit cycle
摘 要:In this paper, we discuss the Poincare bifurcation of a cubic Hamiltonian system with homoclinic loop. We prove that the system can generate at most seven limit cycles after a small perturbation of general cubic polynomials.