Integral behavior for localized synchronization in nonidentical extended systems

Citation
J. Bragard et S. Boccaletti, Integral behavior for localized synchronization in nonidentical extended systems, PHYS REV E, 62(5), 2000, pp. 6346-6351
Citations number
29
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
62
Issue
5
Year of publication
2000
Part
A
Pages
6346 - 6351
Database
ISI
SICI code
1063-651X(200011)62:5<6346:IBFLSI>2.0.ZU;2-1
Abstract
We report the synchronization of two nonidentical spatially extended fields , ruled by one-dimensional complex Ginzburg-Landau equations. The two field s are prepared in different dynamical regimes, and interact via an imperfec t coupling consisting of a given number of local controllers N-c. The stren gth of the coupling is ruled by the parameter epsilon. We show that, in the limit of three controllers per correlation length, the synchronization beh avior is not affected if the product epsilonN(c) /N is kept constant, provi ding a sort of integral behavior for localized synchronization.