Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published June 1980 | public
Journal Article

Multiple limit point bifurcation


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 of some nonlinear functional equation G(u, λ) = 0 are solutions (u_0, λ_0) at which two distinct smooth branches of solutions, say [u(ε), λ(ε)] and [u^(ε), λ^(ε)], intersect nontangentially. The precise nature of limit points is less easy to specify but they are also singular points on a solution branch; that is, points (u_0, λ_0) = (u(0), λ(0)), say, at which the Frechet derivative G_u^0 ≡ G_u(u_0, λ_0) is singular.

Additional Information

© 1980 Published by Elsevier Inc. Supported under Contract EY-76-S-03-0767, Project Agreement No. 12 with DOE and by the U.S. Army Research Office under Contract DAAG29-78-C-0011.

Additional details

August 19, 2023
October 26, 2023