dorsal/arxiv
View SchemaSources and sinks separating domains of left- and right-traveling waves: Experiment versus amplitude equations
| Authors | Roberto Alvarez, Martin van Hecke, Wim van Saarloos |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9612003 |
| URL | https://arxiv.org/abs/patt-sol/9612003 |
| DOI | 10.1103/PhysRevE.56.R1306 |
Abstract
In many pattern forming systems that exhibit traveling waves, sources and sinks occur which separate patches of oppositely traveling waves. We show that simple qualitative features of their dynamics can be compared to predictions from coupled amplitude equations. In heated wire convection experiments, we find a discrepancy between the observed multiplicity of sources and theoretical predictions. The expression for the observed motion of sinks is incompatible with any amplitude equation description.
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"abstract": "In many pattern forming systems that exhibit traveling waves, sources and\nsinks occur which separate patches of oppositely traveling waves. We show that\nsimple qualitative features of their dynamics can be compared to predictions\nfrom coupled amplitude equations. In heated wire convection experiments, we\nfind a discrepancy between the observed multiplicity of sources and theoretical\npredictions. The expression for the observed motion of sinks is incompatible\nwith any amplitude equation description.",
"arxiv_id": "patt-sol/9612003",
"authors": [
"Roberto Alvarez",
"Martin van Hecke",
"Wim van Saarloos"
],
"categories": [
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"nlin.PS"
],
"doi": "10.1103/PhysRevE.56.R1306",
"title": "Sources and sinks separating domains of left- and right-traveling waves: Experiment versus amplitude equations",
"url": "https://arxiv.org/abs/patt-sol/9612003"
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