Frequency Locking in Spatially Extended Systems

Details Frequency Locking in Spatially Extended Systems Frequency Locking in Spatially Extended Systems

2001-01-02

arxiv.org/abs/nlin/0101003v2

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevLett.86.1130

A variant of the complex Ginzburg-Landau equation is used to investigate the frequency locking phenomena in spatially extended systems. With appropriate parameter values, a variety of frequency-locked patterns including flats, $\pi$ fronts, labyrinths and $2\pi/3$ fronts emerge. We show that in spatially extended systems, frequency locking can be enhanced or suppressed by diffusive coupling. Novel patterns such as chaotically bursting domains and target patterns are also observed during the transition to locking.

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