Dresden 2006 – scientific programme

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SYSS: Structure Formation and Self-Organization in non-equilibrium Systems

SYSS 2: Structure Formation and Self-Organization in non-equilibrium Systems II

SYSS 2.6: Talk

Thursday, March 30, 2006, 15:45–16:00, BAR Sch\"o

Travelling wave forcing of Turing structures — •Sten Rüdiger — Hahn-Meitner Institut, Abt Sf5, Glienicker Str. 100, 14109 Berlin

We study domain walls in pattern forming systems of Turing type that are externally forced by a periodic pattern, which is close to spatial resonance of 2:1 (the period of the forcing being half of the internal wavelength) and moving perpendicular to the stripes. Two transitions are identified: A transition where the pattern lags behind the forcing as the forcing becomes too fast and a spontaneous symmetry-breaking transition of walls.

The departure from perfect spatial resonance renders the kink bifurcation imperfect and causes the walls to drift. We study the velocity of the kinks, which behaves strongly nonlinear close to the transitions. A phase approximation is used to analyze the behavior and is valid in a large range of parameters. Results from the phase equation can be generalized to hold for different ratios n:1.