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.