On p-parameter bifurcation of an n-dimensional function-germ.
Nicolas Dutertre (1997)
Manuscripta mathematica
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Displaying similar documents to “Global Bifurcation of Waves.”
On p-parameter bifurcation of an n-dimensional function-germ.
Bifurcations in a modulation equation for alternans in a cardiac fiber
Shu Dai, David G. Schaeffer (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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While alternans in a single cardiac cell appears through a simple period-doubling bifurcation, in extended tissue the exact nature of the bifurcation is unclear. In particular, the phase of alternans can exhibit wave-like spatial dependence, either stationary or travelling, which is known as alternans. We study these phenomena in simple cardiac models through a modulation equation proposed by Echebarria-Karma. As shown in our previous paper, the zero solution of their equation may...
An index for global Hopf bifurcation in parabolic systems.
Bernold Fiedler (1985)
Journal für die reine und angewandte Mathematik
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Wave bifurcation in models for heterogeneous catalysis.
Krömker, S. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Solution Brances of a semilinear elliptic problem at corak-2 Bifurcation points.
Zhen Mei (1992)
Manuscripta mathematica
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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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A nonlinear two-species oscillatory system: bifurcation and stability analysis.
Bandyopadhyay, Malay, Bhattacharya, Rakhi, Chakrabarti, C.G. (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
A Hopf bifurcation of interfaces in a Dirichlet problem.
Ham, YoonMee, Lee, Sang-Gu (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Asymptotic behaviour and Hopf bifurcation of a three-dimensional nonlinear autonomous system.
Baráková, Lenka (2002)
Georgian Mathematical Journal
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Bifurcation for a semilinear elliptic equation on Rn with radially symmetric coefficients.
Wolfgang Rother (1989)
Manuscripta mathematica
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