Excitation wave breaking in excitable media with linear shear flow

V.N. Biktashev, A.V. Holden, M.A. Tsyganov, J. Brindley, N.A. Hill

Submitted 1998/03/30. Accepted 1998/08/12

If an excitable medium is moving with relative shear, the waves of excitation may be broken by the motion. We consider such breaks for the case of a constant linear shear flow. The mechanisms and conditions for the breaking of solitary waves and wavetrains are essentially different: the solitary waves require the velocity gradient to exceed a certain threshold, whilst the breaking of repetitive wavetrains happens for arbitrarily small velocity gradients.

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