Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems
作者： Junmin Yang , Yanqin Xiong , Maoan Han
关键词: Stability (probability) 、 Discrete mathematics 、 Homoclinic orbit 、 Heteroclinic bifurcation 、 Planar 、 Mathematics 、 Limit (mathematics) 、 Loop (topology) 、 Mathematical analysis 、 Limit cycle 、 Bifurcation
摘要: Abstract In this paper, we study the bifurcation problem of limit cycles for a near-Hamiltonian system near 2-polycycle or double 2-polycycle. We obtain new results on number by using method stability-changing homoclinic loop. This also provides way to find alien cycles. Especially, found some type.
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