LOCALIZED SENSITIVITY OF SPIRAL WAVES IN THE COMPLEX GINZBURG-LANDAU EQUATION

Dynamics of spiral waves in perturbed (e.g., slightly inhomogeneous) t wo-dimensional autowave media can be described asymptotically in terms of Aristotelean dynamics, so that the velocities of the spiral wave d rift in space and time are proportional to the forces caused by the pe rturbation. These forces are defined as convolutions of the perturbati on with the so-called response functions. In this paper, we find the r esponse functions numerically for the spiral waves in the complex Ginz burg-Landau equation, and show that they exponentially decrease with d istance.