Drift-induced Benjamin-Feir instabilities

Francesca Di Patti, Duccio Fanelli, Timoteo Carletti

Research output: Contribution to journalArticle

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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

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Landau-Ginzburg equations
traveling waves
seeds
oscillators
asymmetry
injection
boundary conditions
perturbation

Keywords

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

Cite this

Di Patti, Francesca ; Fanelli, Duccio ; Carletti, Timoteo. / Drift-induced Benjamin-Feir instabilities. In: Europhysics Letters. 2016 ; Vol. 114, No. 6. pp. 1-5.
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Drift-induced Benjamin-Feir instabilities. / Di Patti, Francesca ; Fanelli, Duccio; Carletti, Timoteo.

In: Europhysics Letters, Vol. 114, No. 6, 68003, 24.06.2016, p. 1-5.

Research output: Contribution to journalArticle

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