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Bifurcation of Rough Heteroclinic Loop with Two Orbit Flips

Author: WangZhenZhen
Tutor: LiuXingBo
School: East China Normal University
Course: Applied Mathematics
Keywords: Poincaré map Heteroclinic orbit Orbit flip Branch Periodic orbit
CLC: O175.12
Type: Master's thesis
Year: 2011
Downloads: 4
Quote: 0
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Abstract


This paper studies a class of four-dimensional vector space rough heteroclinic loop branch near heteroclinic orbit the activities coordinate frame , and then create the Poincare maps derived branch equation and branch equation , we get the original exclusive places the ring to save and the same places ring existence of conditions heteroclinic ring and cycle rails and the same places rail can not be coexistence sexual well heteroclinic ring and cycle rails , homoclinic loop and cycle rails of coexistence conditions , and to obtain the corresponding branch surfaces of the approximate expressions. Finally, this paper gives the main conclusions of the plaintext is an instance .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Ordinary Differential Equations > Qualitative theory
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