Pattern Formation in a Two-Dimensional Array of Oscillators with Phase-Shifted Coupling

Details Pattern Formation in a Two-Dimensional Array of Oscillators with Phase-Shifted Coupling Pattern Formation in a Two-Dimensional Array of Oscillators with Phase-Shifted Coupling

2004-06-04

arxiv.org/abs/nlin/0406008v2

Phys. Rev. E 70, 065201(R) (2004)

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevE.70.065201

We investigate the dynamics of a two-dimensional array of oscillators with phase-shifted coupling. Each oscillator is allowed to interact with its neighbors within a finite radius. The system exhibits various patterns including squarelike pinwheels, (anti)spirals with phase-randomized cores, and antiferro patterns embedded in (anti)spirals. We consider the symmetry properties of the system to explain the observed behaviors, and estimate the wavelengths of the patterns by linear analysis. Finally, we point out the implications of our work for biological neural networks.

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