Stability analysis of plane wave solutions of the discrete ginzburg-landau equation
The discrete Ginzburg-Landau model for a family of oscillators linearly coupled with their first neighbors is studied. The full linear stability analysis of the nonlinear plane wave solutions is performed by considering both the wave number (k) of the basic states and the wave number (q) of the perturbations as free parameters. In particular, it is shown that nonlinear plane waves can be destabilized not only by long (q-->0) or short (q=pi) wave perturbations, but also by intermediate wave numbers (0<q<pi). Finite size effects are also considered and discussed in connection with experiments on coupled oscillating wakes.
Ravoux
JF
Institut de Recherche sur les Phenomenes Hors-Equilibre, CNRS UM 6594, Universite d'Aix-Marseille I and II, 12 Avenue General Leclerc, 13003 Marseille, France.
Le Dizes S
Le Gal P