Jeong SO, Ko TW, Moon HT. Time-delayed spatial patterns in a two-dimensional array of coupled oscillators.
PHYSICAL REVIEW LETTERS 2002;
89:154104. [PMID:
12365992 DOI:
10.1103/physrevlett.89.154104]
[Citation(s) in RCA: 16] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/20/2002] [Indexed: 05/23/2023]
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.
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