Problems in homoclinic bifurcation with higher dimensions

Springer Science and Business Media LLC - Tập 14 - Trang 341-352 - 1998
Zhu Deming1
1Department of Mathematics, East China Normal University, Shanghai, China

Tóm tắt

In this paper, a suitable local coordinate system is constructed by using exponential dichotomies and generalizing the Floquet method from periodic systems to nonperiodic systems. Then the Poincaré map is established to solve various problems in homoclinic bifurcations with codimension one or two. Bifurcation diagrams and bifurcation curves are given.

Tài liệu tham khảo

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