Some applications of bifurcation theory to ordinary differential equations of the fourth order
Jolanta Przybycin (1991)
Annales Polonici Mathematici
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Displaying similar documents to “The connection between number and form of bifurcation points and properties of the nonlinear perturbation of Berestycki type”
Some applications of bifurcation theory to ordinary differential equations of the fourth order
Some numerical methods in bifurcation theory
Covadonga Blanco García, Carmen Rodríguez Iglesias (1987)
Extracta Mathematicae
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Two-mode bifurcation in solution of a perturbed nonlinear fourth order differential equation
Ahmed Abbas Mizeal, Mudhir A. Abdul Hussain (2012)
Archivum Mathematicum
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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.
Asymptotic behaviour and Hopf bifurcation of a three-dimensional nonlinear autonomous system.
Baráková, Lenka (2002)
Georgian Mathematical Journal
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Hopf bifurcation in symmetric systems
André L. Vanderbauwhede (1986)
Archivum Mathematicum
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Branch Switching in Bifurcation Problems for Ordinary Differential Equations
R. Seydel (1983)
Numerische Mathematik
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Stable and unstable bifurcation in the von Kármán problem for a circular plate.
Borisovich, Andrei, Janczewska, Joanna (2005)
Abstract and Applied Analysis
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