Drift-induced Benjamin-Feir instabilities

Francesca Di Patti, Duccio Fanelli, Timoteo Carletti

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Abstract

A modified version of the Ginzburg-Landau equation is introduced which accounts for asymmetric couplings between neighbors sites on a one-dimensional lattice, with periodic boundary conditions. The drift term which reflects the imposed microscopic asymmetry seeds a generalized class of instabilities, reminiscent of the Benjamin-Feir type. The uniformly synchronized solution is spontaneously destabilized outside the region of parameters classically associated to the Benjamin-Feir instability, upon injection of a nonhomogeneous perturbation. The ensuing patterns can be of the traveling wave type or display a patchy, colorful mosaic for the modulus of the complex oscillators amplitude.
Original languageEnglish
Article number68003
Pages (from-to)1-5
Number of pages5
JournalEurophysics Letters
Volume114
Issue number6
DOIs
Publication statusPublished - 24 Jun 2016

Keywords

  • pattern formation in reactions with diffusion, flow and heat transfer
  • synchronization; coupled oscillators
  • patterns

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