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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 language | English |
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Article number | 68003 |
Pages (from-to) | 1-5 |
Number of pages | 5 |
Journal | Europhysics Letters |
Volume | 114 |
Issue number | 6 |
DOIs | |
Publication status | Published - 24 Jun 2016 |
Keywords
- pattern formation in reactions with diffusion, flow and heat transfer
- synchronization; coupled oscillators
- patterns
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PAI n°P7/19 - DYSCO: Dynamical systems, control and optimization (DYSCO)
Winkin, J., Blondel, V., Vandewalle, J., Pintelon, R., Sepulchre, R., Vande Wouwer, A. & Sartenaer, A.
1/04/12 → 30/09/17
Project: Research