Three-mode bifurcation of extremals in the analysis of bifurcation solutions of sixth order differential equation

Abstract EN

In this paper we are interested in the study of bifurcation solutions of nonlinear wave equation of sixth order of elastic beams on elastic foundations by using local method of Lyapunov-Schmidt.

The normal form of the key function corresponding to the functional related to this equation has been found.

Also, it was found a new geometrical description of caustic with bifurcation spreading of the critical points.