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Phys. Rev. E 59, 2443 - 2446 (1999)

Spiral waves in oscillatory media with an applied electric field

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Michael Gabbay1 *, Edward Ott2 †, and Parvez N. Guzdar2
1Laboratory of Applied Mathematics, Mount Sinai School of Medicine, Box 1012, New York, New York 10029
2Institute for Plasma Research, University of Maryland, College Park, Maryland 20742

Received 24 August 1998

Spiral waves in oscillatory reaction-diffusion systems under the influence of a uniform, time-independent electric field are modeled by the complex Ginzburg-Landau equation extended to include a convective term with complex coefficient. Results for the spiral drift, deformation, and frequency shift due to the electric field are obtained. The coefficient of the additional convective term is derived from the original reaction-diffusion system. The equation provides a good qualitative model of experimentally seen distortion of spiral waves in the presence of an applied electric field.


©1999 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.59.2443
DOI: 10.1103/PhysRevE.59.2443
PACS: 05.45.-a, 82.40.Ck, 47.32.Cc, 82.20.Mj

* Author to whom correspondence should be addressed. FAX: 212-426-5037. Electronic address: gabbay@camelot.mssm.edu
† Also Department of Physics, Department of Electrical Engineering, and Institute for Systems Research, University of Maryland, College Park, MD 20742.

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