BIFURCATIONS OF ROUGH 3-POINT-LOOP WITH HIGHER DIMENSIONS

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The authors study the bifurcation problems of rough heteroclinic loop connecting threesaddle points for the case β1 > 1, β2 > 1, β3 < 1 and β1β2β3 < 1. The existence, number, co-existence and incoexistence of 2-point-loop, 1-homoclinic orbit and 1-periodic orbit are studied.Meanwhile, the bifurcation surfaces and existence regions are given.
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