Weak type heterodimensional cycle bifurcation with orbit-flip |
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Authors: | LU QiuYing ZHU DeMing & GENG FengJie |
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Institution: | LU QiuYing1,ZHU DeMing2 & GENG FengJie3 1Department of Mathematics,Zhejiang Sci-Tech University,Hangzhou 310018,China,2Department of Mathematics,East China Normal University,Shanghai 200241,3School of Information Engineering,China University of Geosciences,Beijing 100083 |
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Abstract: | In this paper, we study the weak type heterodimensional cycle with orbit-flip in its non-transversal orbit by using the local moving frame approach. For the first two subcases, we present the sufficient conditions for the existence, uniqueness and non-coexistence of the homoclinic orbit, heteroclinic orbit and periodic orbit. Based on the bifurcation analysis, the bifurcation surfaces and the existence regions are located. And for the third subcase, we theoretically established both the coexistence conditio... |
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Keywords: | local moving frame weak heterodimensional cycle orbit-flip |
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