Frequency Locking in Spatially Extended Systems

Abstract

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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Cited by in corpus (4)

• Complexes of stationary domain walls in the resonantly forced Ginsburg-Landau equation
• Statistics and Characteristics of Spatio-Temporally Rare Intense Events in Complex Ginzburg-Landau Models
• Effects of time-periodic forcing in a Cahn-Hilliard model for Langmuir-Blodgett transfer
• Harmonic forcing of an extended oscillatory system: Homogeneous and periodic solutions