dorsal/arxiv
View SchemaControlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations
| Authors | A. Pinter, M. Lücke, Ch. Hoffmann |
|---|---|
| Categories | |
| ArXiv ID | physics/0611132 |
| URL | https://arxiv.org/abs/physics/0611132 |
| DOI | 10.1103/PhysRevE.76.015301 |
| Journal | Phys. Rev. E 76, 015301(R) (2007). |
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.
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"abstract": "The effect of an externally applied flow on symmetry degenerated waves\npropagating into opposite directions and standing waves that exchange stability\nwith the traveling waves via mixed states is analyzed. Wave structures that\nconsist of spiral vortices in the counter rotating Taylor-Couette system are\ninvestigated by full numerical simulations and explained quantitatively by\namplitude equations containing quintic coupling terms. The latter are\nappropriate to describe the influence of inversion symmetry breaking\nperturbations on many oscillatory instabilities with O(2) symmetry.",
"arxiv_id": "physics/0611132",
"authors": [
"A. Pinter",
"M. L\u00fccke",
"Ch. Hoffmann"
],
"categories": [
"physics.flu-dyn",
"nlin.PS",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevE.76.015301",
"journal_ref": "Phys. Rev. E 76, 015301(R) (2007).",
"title": "Controlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations",
"url": "https://arxiv.org/abs/physics/0611132"
},
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