4.8 Article

Transverse instability of line defects of period-2 spiral waves

Journal

PHYSICAL REVIEW LETTERS
Volume 93, Issue 9, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.93.098302

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Spiral waves that arise in period-2 oscillatory media extended in space generically bear line defects along which the local kinetics exhibits a period-1 oscillation. Locally, these defect structures can be viewed as a front separating two period-2 oscillatory domains oscillating 2pi out of phase. Here we show that their shape can become sinusoidal with a transverse instability as in bistable fronts. This instability eventually leads to a line-defect filled spatiotemporal chaotic state having erratic proliferations, annihilations, and regenerations of line defects. The same sequence of phenomena is observed in a model reaction-diffusion system as well as in an experimental system.

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