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THE POINCAR BIFURCATION IN CUBIC HAMILTONIAN SYSTEMS WITH HETEROCLINIC LOOP
摘    要:In this paper, we investigate the Poincar bifurcation in cubic Hamiltonian systems with heteroclinic loop, under small general cubic perturbations. We prove that the system has at most two limit cycles and has at least two limit cycles, respectively.

关 键 词:heteroclinic loop  cubic Hamiltonian system  Poincar bifurcation  limit cycle  
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