dorsal/arxiv
View SchemaTunable Pinning of Burst-Waves in Extended Systems with Discrete Sources
| Authors | Igor Mitkov, Konstantin Kladko, John E. Pearson |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9809002 |
| URL | https://arxiv.org/abs/patt-sol/9809002 |
| DOI | 10.1103/PhysRevLett.81.5453 |
| Journal | Physical Review Letters, V. 81, No. 24, 5453-5456 (1998) |
Abstract
We study the dynamics of waves in a system of diffusively coupled discrete nonlinear sources. We show that the system exhibits burst waves which are periodic in a traveling-wave reference frame. We demonstrate that the burst waves are pinned if the diffusive coupling is below a critical value. When the coupling crosses the critical value the system undergoes a depinning instability via a saddle-node bifurcation, and the wave begins to move. We obtain the universal scaling for the mean wave velocity just above threshold.
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"abstract": "We study the dynamics of waves in a system of diffusively coupled discrete\nnonlinear sources. We show that the system exhibits burst waves which are\nperiodic in a traveling-wave reference frame. We demonstrate that the burst\nwaves are pinned if the diffusive coupling is below a critical value. When the\ncoupling crosses the critical value the system undergoes a depinning\ninstability via a saddle-node bifurcation, and the wave begins to move. We\nobtain the universal scaling for the mean wave velocity just above threshold.",
"arxiv_id": "patt-sol/9809002",
"authors": [
"Igor Mitkov",
"Konstantin Kladko",
"John E. Pearson"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.81.5453",
"journal_ref": "Physical Review Letters, V. 81, No. 24, 5453-5456 (1998)",
"title": "Tunable Pinning of Burst-Waves in Extended Systems with Discrete Sources",
"url": "https://arxiv.org/abs/patt-sol/9809002"
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