Tunable Pinning of Burst-Waves in Extended Systems with Discrete Sources

Details Tunable Pinning of Burst-Waves in Extended Systems with Discrete Sources Tunable Pinning of Burst-Waves in Extended Systems with Discrete Sources

1998-09-01

arxiv.org/abs/patt-sol/9809002v1

Physical Review Letters, V. 81, No. 24, 5453-5456 (1998)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 5 figures, revtex

Scientific paper

10.1103/PhysRevLett.81.5453

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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