Projects per year
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.
- pattern formation in reactions with diffusion, flow and heat transfer
- synchronization; coupled oscillators
FingerprintDive into the research topics of 'Drift-induced Benjamin-Feir instabilities'. Together they form a unique fingerprint.
3/10/11 → …
1/04/12 → 30/09/17