title: Suppression of pattern-forming instabilities by genetic optimization.
abstract: We propose a versatile "stabilization on demand" method for the suppression of modulation instability in oscillatory spatially extended nonlinear systems, based on a genetically optimized multifrequency spatiotemporal modulation of the potential. The method, which ensures full stabilization even for very strong nonlinearities, forms a powerful tool allowing for an arbitrary design of the instability spectrum. The stabilization method is universal for complex oscillatory systems, based on a general complex Ginzburg-Landau model with varying degrees of nonlinearity, and could lead to the stabilization of arbitrarily complex systems-from high power lasers and Bose-Einstein condensates of attracting atoms, to spatially extended chemical and biological pattern-forming systems.
authors: Departament de Física, Universitat Politècnica de Catalunya (UPC), Colom 11, E-08222 Terrassa, Barcelona, Spain.
authors: S
authors: S
authors: Kumar
authors: Departament de Física, Universitat Politècnica de Catalunya (UPC), Colom 11, E-08222 Terrassa, Barcelona, Spain.
authors: R
authors: R
authors: Herrero
authors: Departament de Física, Universitat Politècnica de Catalunya (UPC), Colom 11, E-08222 Terrassa, Barcelona, Spain.
authors: M
authors: M
authors: Botey
authors: Departament de Física, Universitat Politècnica de Catalunya (UPC), Colom 11, E-08222 Terrassa, Barcelona, Spain.|Institució Catalana de Recerca i Estudis Avançats (ICREA), Passeig Lluis Companys 23, E-08010 Barcelona, Spain.
authors: K
authors: K
authors: Staliunas
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D007834:Lasers; D015233:Models, Statistical; D017711:Nonlinear Dynamics