Synchronization of uncoupled excitable systems induced by white and coloured noise

Year: 2010

Authors: Zambrano S., Marino I.P., Seoane J.M., Sanjuan M.A.F., Euzzor S., Geltrude A., Meucci R., Arecchi F.T.

Autors Affiliation: Univ Rey Juan Carlos, Nonlinear Dynam Chaos & Complex Syst Grp, Dept Fis, Madrid 28933, Spain;
CNR, Istituto Nazionale di Ottica, I-50125 Florence, Italy;
Univ Florence, Dept Phys, I-50121 Florence, Italy

Abstract: We study, both numerically and experimentally, the synchronization of uncoupled excitable systems due to a common noise. We consider two identical FitzHugh-Nagumo systems, which display both spiking and non-spiking behaviours in chaotic or periodic regimes. An electronic circuit provides a laboratory implementation of these dynamics. Synchronization is tested with both white and coloured noise, showing that coloured noise is more effective in inducing synchronization of the systems. We also study the effects on the synchronization of parameter mismatch and of the presence of intrinsic (not common) noise, and we conclude that the best performance of coloured noise is robust under these distortions.


Volume: 12      Pages from: 053040  to: 053040

More Information: This work was supported by the Spanish Ministry of Education and Science under project number FIS2006-08525, by the Spanish Ministry of Science and Innovation under project number FIS2009-09898 and by Universidad Rey Juan Carlos and Comunidad de Madrid under project number URJC-CM-2007-CET-1601. The INOA group acknowledges the financial support of Fondazione Ente Cassa di Risparmio di Firenze. JS and SZ acknowledge the warm hospitality they received at INOA where part of this work was carried out.
KeyWords: Coloured noise; Electronic circuits; Excitable systems; FitzHugh-Nagumo systems; Parameter mismatches, Synchronization
DOI: 10.1088/1367-2630/12/5/053040

Citations: 20
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