Geodesic
Two-mode bifurcation in solution of a perturbed nonlinear fourth order differential equation
Archivum mathematicum, Tome 48 (2012) no. 1, pp. 27-37.

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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.
DOI : 10.5817/AM2012-1-27
Classification : 34K18, 93C10
Keywords: bifurcation theory; nonlinear systems; local Lyapunov-Schmidt method 
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Mizeal, Ahmed Abbas; Hussain, Mudhir A. Abdul. Two-mode bifurcation in solution of a perturbed nonlinear fourth order differential equation. Archivum mathematicum, Tome 48 (2012) no. 1, pp. 27-37. doi : 10.5817/AM2012-1-27. http://geodesic.mathdoc.fr/articles/10.5817/AM2012-1-27/

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