Regensburg 2007 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Nonlinear dynamics and pattern formation
DY 33.5: Vortrag
Freitag, 30. März 2007, 13:00–13:15, H3
Ising and Bloch fronts in lattices of coupled forced oscillators. — •Ernesto Nicola1 and Diego Pazó2 — 1Max-Planck-Institut für Physik komplexer Systeme, Noethnitzer Str. 38, D-01187 Dresden, Germany — 2Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Spain
The parametrically forced complex Ginzburg-Landau equation has been intensively studied since the seminal work by Coullet and coworkers [1]. This equation, which models a spatially extended medium, is bistable and admits fronts separating both states. These fronts can be of two types: Ising and Bloch. The Ising fronts are stationary and the Bloch fronts move with constant velocity. A transition between both fronts is observed as the intensity of the forcing is changed.
Systems in nature are very often discrete. Some examples of these kind of systems are arrays of coupled oscillators, spin systems and diverse biophysical systems. Here, we analyse the parametrically coupled Ginzburg-Landau equation on the lattice. Numerical simulations of this equation show a large variety of front types. Some of them are not present in the continuum case. We show that the dynamics and transitions between all these fronts can be captured by a normal form consisting of two ordinary differential equations.
[1] P. Coullet et al., Phys. Rev. Lett. 65, 1352 (1990).