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Stabilization of Pattern in Complex Ginzburg-Landau Equation with Spatial Perturbation Scheme
Authors:MA Jun YI Ming ZHANG Li-Ping JIN Wu-Yin LI Yan-Long
Affiliation:1. School of Sciences, Lanzhou University of Technology, Lanzhou 730050, China ;2. Department of Physics and Institute of Biophysics, Central China Normal University, Wuhan 430079, China ;3. College of Mechano-Electronic Engineering, Lanzhou University of Technology, Lanzhou 730050, China
Abstract:In this paper, a new scheme of spatial perturbation is proposed to stabilize the pattern in the oscillatory media, which could be described with the complex Ginzburg-Landau equation. The numerical simulation results confirm that the spiral wave, antispiral wave and spatiotemporal chaos in the complex Ginzburg-Landau equation could be suppressed, and the scheme is also discussed with the conservative field theory. Furthermore, the spatiotemporal noise is also introduced into the whole media, it just confirms that it is robust to the spatiotemporal noise.
Keywords:spiral wave  antispiral wave  spiral turbulence  spatial perturbation
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