Abstract
The dynamics of a scroll wave in an excitable medium with gradient excitability is studied in detail. Three parameter regimes can be distinguished by the degree of gradient. For a small gradient, the system reaches a simple rotating synchronization. In this regime, the rigid rotating velocity of spiral waves is maximal in the layers with the highest filament twist. As the excitability gradient increases, the scroll wave evolutes into a meandering synchronous state. This transition is accompanied by a variation in twisting rate. Filament twisting may prevent the breakup of spiral waves in the bottom layers with a low excitability with which a spiral breaks in a 2D medium. When the gradient is large enough, the twisted filament breaks up, which results in a semi-turbulent state where the lower part is turbulent while the upper part contains a scroll wave with a low twisting filament.
Highlights
Data Availability Statement: All relevant data are within the paper
We examine the effects of spiral wave propagation on the tension of 3D scroll wave filaments in an excitable medium
We have studied the effects of wave propagation on the twisting of 3D scroll wave filaments in an excitable medium
Summary
Data Availability Statement: All relevant data are within the paper. We examine the effects of spiral wave propagation on the tension of 3D scroll wave filaments in an excitable medium. The pattern dynamics by increasing the gradient of excitability can be well understood by the effect of the phase twist of scroll wave filaments.
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