【摘 要】
：
The bifurcation problems of rough 2-point-loop are studied for the case ρ11＞λ11,ρ1/2＜λ1/2,ρ11ρ12＜λ11λ2, where-ρ1i＜0 and λ1i＞0 are the pair of principal eig
【机 构】
：
Department of Mathematics
【基金项目】
：
国家自然科学基金;上海市重点学科建设项目
论文部分内容阅读
The bifurcation problems of rough 2-point-loop are studied for the case ρ11＞λ11,ρ1/2＜λ1/2,ρ11ρ12＜λ11λ2, where-ρ1i＜0 and λ1i＞0 are the pair of principal eigenvalues of unperturbed system at saddle point pi, i= 1, 2. Under the transversal and nontwisted conditions, the authors obtain some results of the existence of one 1-periodic orbit, one 1-periodic and one 1-homoclinic loop, two 1-periodic orbits and one 2-fold 1-periodic orbit. Moreover, the bifurcation surfaces and the existence regions are given, and the corresponding bifurcation graph is drawn.
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