Finite Dimensional Approximation of Bifurcation Problems in Presence of Symmetries.
G. Raugel (1986)
Numerische Mathematik
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Displaying similar documents to “Finite Dimensional Approximation of Nonlinear Problems. Part III : Simple Bifurcation Points.”
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In this paper, we are interested in the study of bifurcation solutions of nonlinear wave equation of elastic beams located on elastic foundations with small perturbation by using local method of Lyapunov-Schmidt.We showed that the bifurcation equation corresponding to the elastic beams equation is given by the nonlinear system of two equations. Also, we found the parameters equation of the Discriminant set of the specified problem as well as the bifurcation diagram.
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