Bifurcations of finite difference schemes and their approximate inertial forms
Rolf Bronstering, Min Chen (1998)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Rolf Bronstering, Min Chen (1998)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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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...
Janovský, Vladimír, Marek, Ivo, Neuberg, Jiří
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Michal Fečkan (1991)
Mathematica Slovaca
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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.