Synchronization in an array of globally coupled maps with delayed interactions

Cristina Masoller, Arturo C Martı́ and Damián H Zanette

Physica A: Statistical Mechanics and its Applications, 2003, vol. 325, issue 1, 186-191

Abstract: We study synchronization of a one-dimensional array of coupled logistic maps in the regime where the individual maps, without coupling, evolve in a periodic orbit. We investigate the effect of a delay in the coupling that takes into account the finite velocity of propagation of interactions. Two qualitatively different synchronization regimes are found, depending on the value of the coupling strength. For weak coupling the array divides into clusters, and the behavior of the individual elements within each cluster depends on the delay times. For strong enough coupling, the array synchronizes into a single cluster. The evolution of the elements is periodic and their relative phases depend on the delay times.

Keywords: Synchronization; Coupled map arrays; Time delays (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437103001973
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:325:y:2003:i:1:p:186-191

DOI: 10.1016/S0378-4371(03)00197-3

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().