Multiple limit point bifurcation
作者： Dwight W Decker , Herbert B Keller
DOI: 10.1016/0022-247X(80)90090-6
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摘要: In this paper we present a new bifurcation or branching phenomenon which we call multiple limit point bifurcation. It is of course well known that bifurcation points some nonlinear functional equation G(u, λ) = 0 are solutions (u_0, λ_0) at which two distinct smooth branches solutions, say [u(e), λ(e)] and [u^(e), λ^(e)], intersect nontangentially. The precise nature points less easy to specify but they also singular on solution branch; is, (u(0), λ(0)), say, the Frechet derivative G_u^0 ≡ G_u(u_0, singular.
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