Asynchronous updating of coupled maps leads to synchronization

Authors
Citation
M. Mehta et S. Sinha, Asynchronous updating of coupled maps leads to synchronization, CHAOS, 10(2), 2000, pp. 350-358
Citations number
17
Categorie Soggetti
Physics
Journal title
CHAOS
ISSN journal
10541500 → ACNP
Volume
10
Issue
2
Year of publication
2000
Pages
350 - 358
Database
ISI
SICI code
1054-1500(200006)10:2<350:AUOCML>2.0.ZU;2-A
Abstract
We investigate the spatiotemporal dynamics of two dimensional coupled map l attices, in the strong coupling phase, evolving under updating rules incorp orating varying degrees of asynchronicity. Interestingly, we observe that p arallel updates never allow synchronization among the sites, while asynchro ncity has the effect of opening up windows in parameter space where the syn chronized dynamics gains stability. As asynchronicity increases, the parame ter range supporting synchronization gets rapidly wider. Detailed numerics, including bifurcation diagrams and patterns formed en route to synchroniza tion, are reported. We also attempt a mean-field analysis of the system in order to try and account for the stability of the spatiotemporal fixed poin t under asynchronous updates. (C) 2000 American Institute of Physics. [S105 4-1500(00)01002-8].