Time-delayed Spatial Patterns in a Two-dimensional Array of Coupled Oscillators

Abstract

We investigated the effect of time delays on phase configurations in a set of two-dimensional coupled phase oscillators. Each oscillator is allowed to interact with its neighbors located within a finite radius, which serves as a control parameter in this study. It is found that distance-dependent time-delays induce various patterns including traveling rolls, square-like and rhombus-like patterns, spirals, and targets. We analyzed the stability boundaries of the emerging patterns and briefly pointed out the possible empirical implications of such time-delayed patterns.

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References in corpus (2)

• Slow Switching in Globally Coupled Oscillators: Robustness and Occurrence through Delayed Coupling
• Anticipated synchronization in coupled chaotic maps with delays

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