Spiral Motion in a Noisy Complex Ginzburg-Landau Equation

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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RevTex, 4 pages, 3 figures, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.2646

The response of spiral waves to external perturbations in a stable regime of the two-dimensional complex Ginzburg-Landau equation (CGLE) is investigated. It is shown that the spiral core has a finite mobility and performs Brownian motion when driven by white noise. Combined with simulation results, this suggests that defect-free and quasi-frozen states in the noiseless CGLE are unstable against free vortex excitation at any non-zero noise strength.

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