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A double saddle-node bifurcation theorem
| Content Provider | Semantic Scholar |
|---|---|
| Author | Liu, Ping Shi, Junping Wang, Yuwen |
| Copyright Year | 2010 |
| Abstract | We consider an abstract equation F (λ, u) = 0 with one parameter λ, where F ∈ C(R × X,Y ), p ≥ 2 is a nonlinear differentiable mapping, and X,Y are Banach spaces. We apply Lyapunov-Schmidt procedure and Morse Lemma to obtain a “double” saddle-node bifurcation theorem near a degenerate point with a two-dimensional kernel. It is shown that the solution set of the equation is the union of two parabola-like curves with same vertex, and it is interesting that the two curves can be on the different sides of bifurcation point. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.wm.edu/~shij/shi/twodimensionkenel-19.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Abnormal degeneration Bifurcation theory Kernel Lyapunov fractal Node - plant part Nonlinear system Population Parameter Schmidt decomposition Vertex |
| Content Type | Text |
| Resource Type | Article |
