Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842297 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 13 Pages |
Abstract
In this work, bifurcations in the class that the homoclinic orbit connects the strong stable and strong unstable manifolds of a saddle are investigated for four-dimensional vector fields. The existence, numbers, coexistence and incoexistence of 1-homoclinic orbit, 1-periodic orbit, 2n2n-homoclinic orbit and 2n2n-periodic orbit are obtained, the approximate expressions of the corresponding bifurcation surfaces and the bifurcation diagrams are also presented.
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Authors
Guifeng Deng, Deming Zhu,