Localised sensitivity of spiral waves in the Complex Ginzburg-Landau Equation

I. V. Biktasheva, Yu. E. Elkin , V. N. Biktashev

Submitted to PRL 1997/08/04. Transferred to PRE 1997/11/21. Accepted 1997/12/01.

Dynamics of spiral waves in perturbed (e.g., slightly inhomogeneous) two-dimensional autowave media can be described asymptotically in terms of `Aristotelean' dynamics, so that the velocities of the spiral wave drift in space and time are proportional to the `forces' caused by the perturbation. These forces are defined as convolutions of the perturbation with the so called response functions. In this paper, we find the response functions numerically for the spiral waves in Complex Ginzburg-Landau Equation, and show that they exponentially decrease with distance.

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