The control of spatiotemporal chaos generated by traveling holes in spatially extended oscillatory media near a subcritical Hopf bifurcation is investigated. Analytical and numerical approaches are proposed for the purpose of this study. This work is done by using the nonlinear diffusion parameter control. We show that the unstable traveling hole in the one-dimensional cubic-quintic complex Ginzburg-Landau equation can be effectively stabilized in the chaotic regime.
机构:
Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China