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Displaying similar documents to “Steady tearing mode instabilities with a resistivity depending on a flux function ”

Hopf Bifurcation Analysis of Pathogen-Immune Interaction Dynamics With Delay Kernel

M. Neamţu, L. Buliga, F. R. Horhat, D. Opriş (2010)

Mathematical Modelling of Natural Phenomena

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The aim of this paper is to study the steady states of the mathematical models with delay kernels which describe pathogen-immune dynamics of infectious diseases. In the study of mathematical models of infectious diseases it is important to predict whether the infection disappears or the pathogens persist. The delay kernel is described by the memory function that reflects the influence of the past density of pathogen in the blood and it is given by a nonnegative bounded and normated...

Approximation of solution branches for semilinear bifurcation problems

Laurence Cherfils (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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This note deals with the approximation, by a finite element method with numerical integration, of solution curves of a semilinear problem. Because of both mixed boundary conditions and geometrical properties of the domain, some of the solutions do not belong to . So, classical results for convergence lead to poor estimates. We show how to improve such estimates with the use of weighted Sobolev spaces together with a mesh “ adapted” to the singularity....

Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point

J. C. Tzou, A. Bayliss, B.J. Matkowsky, V.A. Volpert (2010)

Mathematical Modelling of Natural Phenomena

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Spatiotemporal patterns near a codimension-2 Turing-Hopf point of the one-dimensional superdiffusive Brusselator model are analyzed. The superdiffusive Brusselator model differs from its regular counterpart in that the Laplacian operator of the regular model is replaced by /|ξ|, 1 < < 2, an integro-differential operator that reflects the nonlocal behavior of superdiffusion. The order of the operator, , is a measure...

Coexisting cycles in a class of 3-D discrete maps

Anna Agliari (2012)

ESAIM: Proceedings

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In this paper we consider the class of three-dimensional discrete maps () = [(), (), ()], where : ℝ → ℝ is an endomorphism. We show that all the cycles of the 3-D map can be obtained by those of (), as well as their local bifurcations. In particular we obtain that any local bifurcation is of co-dimension 3, that is three eigenvalues cross simultaneously the unit circle. As the map exhibits coexistence of...

Organizing centers in parameter space of discontinuous 1D maps. The case of increasing/decreasing branches

Laura Gardini, Viktor Avrutin, Michael Schanz, Albert Granados, Iryna Sushko (2012)

ESAIM: Proceedings

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This work contributes to classify the dynamic behaviors of piecewise smooth systems in which characterize the qualitative changes in the dynamics. A central point of our investigation is the intersection of two border collision bifurcation curves in a parameter plane. This problem is also associated with the continuity breaking in a fixed point of a piecewise smooth map. We will relax the hypothesis needed in [4] where it was proved that...