Controlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations

Details Controlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations Controlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations

2006-11-14

arxiv.org/abs/physics/0611132v2

Phys. Rev. E 76, 015301(R) (2007).

Physics

Fluid Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.76.015301

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.

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