The poincare bifurcation from cubic Hamiltonian wystems with heteroclinic loop

【作者】 宋燕；

【Author】 (Department of Mathematics,Bohai University,Jinzhou,Liaoning,China,121000)

【机构】 Department of Mathematics,Bohai University,Jinzhou,Liaoning；

【摘要】 <正>In this paper,we investigate the Poincar’e bifurcation from cubic Hamiltonian systems with heteroclinic loop,under small general cubic perturbations.We prove that the Poincar’e bifurcation may at most generate two limit cycles and the Poincar’e bifurcation can generate two limit cycles(?) heteroclinic loop,cubic Hamiltonian system,Poincar’e bi- furcation,limit cycle.更多还原

【Abstract】 In this paper,we investigate the Poincar’e bifurcation from cubic Hamiltonian systems with heteroclinic loop,under small general cubic perturbations.We prove that the Poincar’e bifurcation may at most generate two limit cycles and the Poincar’e bifurcation can generate two limit cycles(?) heteroclinic loop,cubic Hamiltonian system,Poincar’e bi- furcation,limit cycle.更多还原