The connection between number and form of bifurcation points and properties of the nonlinear perturbation of Berestycki type
Jolanta Przybycin (1989)
Annales Polonici Mathematici
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Displaying similar documents to “Some numerical methods in bifurcation theory”
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
Jolanta Przybycin (1991)
Annales Polonici Mathematici
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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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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.
Hopf bifurcation in symmetric systems
André L. Vanderbauwhede (1986)
Archivum Mathematicum
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Dynamic bifurcation diagrams for some models in economics and biology.
Georgescu, Adelina (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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The numerical treatment of perturbed bifurcation in boundary value problems
Martin Hermann (1984)
Banach Center Publications
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One-Parameter Bifurcation Analysis of Dynamical Systems using Maple
Borisov, Milen, Dimitrova, Neli (2010)
Serdica Journal of Computing
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This paper presents two algorithms for one-parameter local bifurcations of equilibrium points of dynamical systems. The algorithms are implemented in the computer algebra system Maple 13 © and designed as a package. Some examples are reported to demonstrate the package’s facilities. * This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02–359/2008.