Non-equilibrium ribbon model of scroll waves with twist

Details Non-equilibrium ribbon model of scroll waves with twist Non-equilibrium ribbon model of scroll waves with twist

2006-02-06

arxiv.org/abs/nlin/0602009v1

Nonlinear Sciences

Pattern Formation and Solitons

5 pages, 4 figures + 1 figure as auxiliary material, to appear in Phys. Rev. Lett

Scientific paper

We formulate a reduced model to analyze the motion of the core of a twisted scroll wave. The model is first shown to provide a simple description of the onset and nonlinear evolution of the helical state appearing in the sproing bifurcation of scroll waves. It then serves to examine the experimentally studied case of a medium with spatially-varying excitability. The model shows the role of sproing in this more complex setting and highlights the differences between the convective and absolute sproing instabilities.

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