Signal propagation in oscillatory media enabled by noise-induced excitability

Ekkehard Ullner; Alexei Zaikin; Jordi Garcia-Ojalvo; Jürgen Kurths

doi:10.1117/12.546658

25 May 2004 Signal propagation in oscillatory media enabled by noise-induced excitability

Ekkehard Ullner, Alexei Zaikin, Jordi Garcia-Ojalvo, Jürgen Kurths

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.546658
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

A noise-induced signal propagation is reported in oscillatory media with FitzHugh-Nagumo dynamics which is based on a noise-induced phase transition to excitability. This transition occurs via a noise-induced suppression of self-excited oscillations, while the overall phase-space structure of the system is maintained. The noise-induced excitability enables the information transport in the originally oscillatory media. We demonstrate this new feature by the propagation of a wave front and the formation of a spiral in a two dimensional lattice. These spatio-temporal structures transport information and can be observed only in the presence of suitable amount of noise and not in the deterministic self-sustained oscillatory system. Thus we extend classes of nonlinear systems with signal transmission properties also to oscillatory systems, which demonstrate a noise-induced phase transition to excitability. Further on, the mechanism of noise-induced excitability provides the opportunity to control the information transport by noise via a triggering mechanism, i.e. the information channel is switched on in the presence of noise and switched off in its absence.

Citation Download Citation

Ekkehard Ullner, Alexei Zaikin, Jordi Garcia-Ojalvo, and Jürgen Kurths "Signal propagation in oscillatory media enabled by noise-induced excitability", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.546658

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KEYWORDS

Oscillators

Wave propagation

Wavefronts

Complex systems

Interference (communication)

Computer simulations

Bistability

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