Controlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations
Fluid Dynamics
2008-07-19 v2 Pattern Formation and Solitons
Computational Physics
Abstract
The effect of an externally applied flow on symmetry degenerated waves propagating into opposite directions and standing waves that exchange stability with the traveling waves via mixed states is analyzed. Wave structures that consist of spiral vortices in the counter rotating Taylor-Couette system are investigated by full numerical simulations and explained quantitatively by amplitude equations containing quintic coupling terms. The latter are appropriate to describe the influence of inversion symmetry breaking perturbations on many oscillatory instabilities with O(2) symmetry.
Keywords
Cite
@article{arxiv.physics/0611132,
title = {Controlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations},
author = {A. Pinter and M. Lücke and Ch. Hoffmann},
journal= {arXiv preprint arXiv:physics/0611132},
year = {2008}
}
Comments
4 pages, 4 figures