dorsal/arxiv
View SchemaWave-unlocking transition in resonantly coupled complex Ginzburg-Landau equations
| Authors | A. Amengual, D. Walgraef, M. San Miguel, E. Hernandez-Garcia |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9602001 |
| URL | https://arxiv.org/abs/patt-sol/9602001 |
| DOI | 10.1103/PhysRevLett.76.1956 |
| Journal | Phys. Rev. Lett. 76, 1956 (1996). |
Abstract
We study the effect of spatial frequency-forcing on standing-wave solutions of coupled complex Ginzburg-Landau equations. The model considered describes several situations of nonlinear counterpropagating waves and also of the dynamics of polarized light waves. We show that forcing introduces spatial modulations on standing waves which remain frequency locked with a forcing-independent frequency. For forcing above a threshold the modulated standing waves unlock, bifurcating into a temporally periodic state. Below the threshold the system presents a kind of excitability.
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"abstract": "We study the effect of spatial frequency-forcing on standing-wave solutions\nof coupled complex Ginzburg-Landau equations. The model considered describes\nseveral situations of nonlinear counterpropagating waves and also of the\ndynamics of polarized light waves. We show that forcing introduces spatial\nmodulations on standing waves which remain frequency locked with a\nforcing-independent frequency. For forcing above a threshold the modulated\nstanding waves unlock, bifurcating into a temporally periodic state. Below the\nthreshold the system presents a kind of excitability.",
"arxiv_id": "patt-sol/9602001",
"authors": [
"A. Amengual",
"D. Walgraef",
"M. San Miguel",
"E. Hernandez-Garcia"
],
"categories": [
"patt-sol",
"cond-mat",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.76.1956",
"journal_ref": "Phys. Rev. Lett. 76, 1956 (1996).",
"title": "Wave-unlocking transition in resonantly coupled complex Ginzburg-Landau equations",
"url": "https://arxiv.org/abs/patt-sol/9602001"
},
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