Asymptotic behaviour and Hopf bifurcation of a three-dimensional nonlinear autonomous system.
Baráková, Lenka (2002)
Georgian Mathematical Journal
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Displaying similar documents to “A study of bifurcation of Kolmogorov flows with an emphasis on the singular limit.”
Asymptotic behaviour and Hopf bifurcation of a three-dimensional nonlinear autonomous system.
Linearized geometric dynamics of Tobin-Benhabib-Miyao economic flow.
Udrişte, Constantin, Ciancio, Armando (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Successive bifurcation conditions of a Lorenz-type equation for the fluid convection due to the transient thermal field.
He, Xiaoling (2007)
Mathematical Problems in Engineering
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Some numerical methods in bifurcation theory
Covadonga Blanco García, Carmen Rodríguez Iglesias (1987)
Extracta Mathematicae
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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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Path formulation for a modal family.
Aguiar, M., Castro, S., Labouriau, I. (2001)
Portugaliae Mathematica. Nova Série
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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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Hopf bifurcation in symmetric systems
André L. Vanderbauwhede (1986)
Archivum Mathematicum
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Generic saddle-node bifurcation for cascade second order ODEs on manifolds
Milan Medveď (1998)
Annales Polonici Mathematici
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Cascade second order ODEs on manifolds are defined. These objects are locally represented by coupled second order ODEs such that any solution of one of them can represent an external force for the other one. A generic saddle-node bifurcation theorem for 1-parameter families of cascade second order ODEs is proved.
Notes on some recent methods in bifurcation theory
D. R. J. Chillingworth (1985)
Banach Center Publications
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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.