Non-equilibrium ribbon model of scroll waves with twist

B. Echebarria; V. Hakim; H. Henry

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arXiv · nlin/0602009

Non-equilibrium ribbon model of scroll waves with twist

B. Echebarria·V. Hakim·H. Henry

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Abstract

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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B. Echebarria, V. Hakim, H. Henry. 2006-02-06. Non-equilibrium ribbon model of scroll waves with twist. https://arxiv.org/abs/nlin/0602009

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