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Noise-induced excitability in oscillatory media

Ullner, E; Zaikin, A; Garcia-Ojalvo, J; Kurths, J; (2003) Noise-induced excitability in oscillatory media. PHYS REV LETT , 91 (18) , Article 180601. 10.1103/PhysRevLett.91.180601. Green open access

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Abstract

A noise-induced phase transition to excitability is reported in oscillatory media with FitzHugh-Nagumo dynamics. This transition takes place via a noise-induced stabilization of a deterministically unstable fixed point of the local dynamics, while the overall phase-space structure of the system is maintained. Spatial coupling is required to prevent oscillations through suppression of fluctuations (via clustering in the case of local coupling). Thus, the joint action of coupling and noise leads to a different type of phase transition and results in a stabilization of the system. The resulting regime is shown to display characteristic traits of excitable media, such as stochastic resonance and wave propagation. This effect thus allows the transmission of signals through an otherwise globally oscillating medium.

Type: Article
Title: Noise-induced excitability in oscillatory media
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.91.180601
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.91.180601
Language: English
Additional information: © 2003 The American Physical Society
Keywords: STOCHASTIC RESONANCE
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL EGA Institute for Womens Health
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL EGA Institute for Womens Health > Womens Cancer
URI: https://discovery.ucl.ac.uk/id/eprint/120059
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