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Suppression of pattern-forming instabilities by genetic optimization

S. Kumar, R. Herrero, M. Botey, and K. Staliunas
Phys. Rev. E 94, 010202(R) – Published 13 July 2016
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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.

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  • Received 4 March 2016

DOI:https://doi.org/10.1103/PhysRevE.94.010202

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

S. Kumar1,*, R. Herrero1, M. Botey1, and K. Staliunas1,2

  • 1Departament de Física, Universitat Politècnica de Catalunya (UPC), Colom 11, E-08222 Terrassa, Barcelona, Spain
  • 2Institució Catalana de Recerca i Estudis Avançats (ICREA), Passeig Lluis Companys 23, E-08010 Barcelona, Spain

  • *Corresponding author: kr.shubham@gmail.com

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Issue

Vol. 94, Iss. 1 — July 2016

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