Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 54: Posters - Pattern Formation, Reaction Diffusion, Chimera

DY 54.11: Poster

Donnerstag, 23. März 2017, 17:00–19:30, P1A

Wavenumber Restriction for Traveling Waves via Parameter Variations (Ramps) — •Samuel Grimm, Fabian Bergmann, Lisa Rapp, and Walter Zimmermann — Theoretische Physik I, Universität Bayreuth, 95440 Bayreuth, Deutschland

We investigate the problem of wavenumber selection of traveling waves (TWs) by spatial variations of the control parameter and the oscillation frequency within a complex Swift-Hohenberg equation [1] and coupled Ginzburg-Landau equations.

As is well known, for a given parameter set, a whole band of stable wavenumbers is possible for both stationary [2] and TW patterns [3]. Additionally, in realistic systems, parameters are often spatially inhomogeneous. These parameter variations further influence pattern formation. In stationary systems, e.g., parameter ramps may lead to wavenumber selection or even an orientational selection of patterns ([4] and references therein). For nonlinear TWs, smooth parameter ramps may lead to wavenumber restriction and interesting spatio-temporal behavior [5].

Here, we determine the influence of slow, as well as non-adiabatic parameter variations on the width of the stable wavenumber band for TWs and their spatio-temporal behavior. Can spatio-temporal chaotic behavior of TWs be tamed by spatial parameter variations?

[1] B. A. Molomed, Z. Physik B 55, 241 (1984); [2] L. Kramer and W. Zimmermann, Physica A 16 221 (1985); [3] B. Janiaud et al. Physica D 55, 269 (1992); [4] L. Rapp, F. Bergmann, W. Zimmermann, EPL 113, 28006 (2016); [5] B. A. Malomed, Phys. Rev. E 47, R2257 (1993).