Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions
Kučera, Milan
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Displaying similar documents to “Coexistence for a resource-based growth model with two resources.”
Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions
A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions
Jamol I. Baltaev, Milan Kučera, Martin Väth (2012)
Applications of Mathematics
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We consider a simple reaction-diffusion system exhibiting Turing's diffusion driven instability if supplemented with classical homogeneous mixed boundary conditions. We consider the case when the Neumann boundary condition is replaced by a unilateral condition of Signorini type on a part of the boundary and show the existence and location of bifurcation of stationary spatially non-homogeneous solutions. The nonsymmetric problem is reformulated as a single variational inequality with...
A result on the bifurcation from the principal eigenvalue of the -Laplacian.
Drábek, P., Elkhalil, A., Touzani, A. (1997)
Abstract and Applied Analysis
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A bifurcation result for Sturm-Liouville problems with a set-valued term.
Hetzer, Georg (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.
Bifurcation of reaction-diffusion systems related to epidemics.
Leung, Anthony W., Villa, Beatriz R. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bifurcation of nonlinear elliptic system from the first eigenvalue.
El Khalil, Abdelouahed, Ouanan, Mohammed, Touzani, Bdelfattah (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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...