Displaying similar documents to “ Organizing centers in parameter space of discontinuous 1D maps. The case of increasing/decreasing branches ”

Breaking the continuity of a piecewise linear map

Viktor Avrutin, Michael Schanz, Björn Schenke (2012)

ESAIM: Proceedings

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Knowledge about the behavior of discontinuous piecewise-linear maps is important for a wide range of applications. An efficient way to investigate the bifurcation structure in 2D parameter spaces of such maps is to detect specific codimension-2 bifurcation points, called organizing centers, and to describe the bifurcation structure in their neighborhood. In this work, we present the organizing centers in the 1D discontinuous piecewise-linear...

Steady tearing mode instabilities with a resistivity depending on a flux function

Atanda Boussari, Erich Maschke, Bernard Saramito (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider plasma tearing mode instabilities when the resistivity depends on a flux function (), for the plane slab model. This problem, represented by the MHD equations, is studied as a bifurcation problem. For so doing, it is written in the form , where is a compact operator in a suitable space and is the bifurcation parameter. In this work, the resistivity is not assumed to be a given quantity (as usually done in previous papers, see [1,2,5,7,8,9,10], but it depends non linearly...