Mode locking in small-world networks of coupled circle maps

Antônio M. Batista, Sandro E.de S. Pinto, Ricardo L. Viana and Sergio R. Lopes

Physica A: Statistical Mechanics and its Applications, 2003, vol. 322, issue C, 118-128

Abstract: We investigate the emergence of mode locking, or frequency synchronization, in a chain of coupled sine-circle maps with randomly distributed parameters, and exhibiting the small-world property. The coupling prescription we adopt considers the nearest and next-to-the-nearest neighbors of a given site, as well as randomly chosen non-local shortcuts, according to a given probability. A transition between synchronized and non-synchronized patterns is observed as this probability is varied. We also study the statistics of the synchronization plateaus, evidencing a Poisson-type distribution.

Keywords: Synchronization; Small-world; Mode locking (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:322:y:2003:i:c:p:118-128

DOI: 10.1016/S0378-4371(02)01917-9

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