Time-Delayed Spatial Patterns in a Two-Dimensional Array of Coupled Oscillators
- 20 September 2002
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 89 (15), 154104
- https://doi.org/10.1103/physrevlett.89.154104
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, squarelike and rhombuslike 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.Other Versions
This publication has 27 references indexed in Scilit:
- Delayed coupling of logistic mapsPhysical Review E, 2001
- Slow switching in globally coupled oscillators: robustness and occurrence through delayed couplingPhysical Review E, 2001
- Traveling Electrical Waves in Cortex: Insights from Phase Dynamics and Speculation on a Computational RoleNeuron, 2001
- Nearest pattern interaction and global pattern formationPhysical Review E, 2000
- Experimental Observation of the Amplitude Death Effect in Two Coupled Nonlinear OscillatorsPhysical Review Letters, 2000
- Stochastic Resonance in Coupled Oscillator Systems with Time DelayPhysical Review Letters, 1999
- Multistability in Coupled Oscillator Systems with Time DelayPhysical Review Letters, 1997
- Cooperative dynamics in visual processingPhysical Review A, 1991
- Homoclinic crossings and pattern selectionPhysical Review Letters, 1990
- Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus propertiesNature, 1989