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RESEARCH PRODUCT

Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise

G. AugelloBernardo SpagnoloDavide Valenti

subject

PhysicsFluctuation phenomena random processes noise and Brownian motionSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciAutocorrelationDynamics (mechanics)Mean and predicted responseModels of single neurons and networks; Noise in the nervous system; Fluctuation phenomena random processes noise and Brownian motion; Nonlinear dynamics and chaosFOS: Physical sciencesNoise in the nervous systemModels of single neurons and networkCondensed Matter PhysicsFitzhugh nagumoNonlinear dynamics and chaosStability (probability)Electronic Optical and Magnetic MaterialsPeriodic functionNoiseColors of noiseBiological Physics (physics.bio-ph)Statistical physicsPhysics - Biological Physics

description

We analyze the dynamics of the FitzHugh-Nagumo (FHN) model in the presence of colored noise and a periodic signal. Two cases are considered: (i) the dynamics of the membrane potential is affected by the noise, (ii) the slow dynamics of the recovery variable is subject to noise. We investigate the role of the colored noise on the neuron dynamics by the mean response time (MRT) of the neuron. We find meaningful modifications of the resonant activation (RA) and noise enhanced stability (NES) phenomena due to the correlation time of the noise. For strongly correlated noise we observe suppression of NES effect and persistence of RA phenomenon, with an efficiency enhancement of the neuronal response. Finally we show that the self-correlation of the colored noise causes a reduction of the effective noise intensity, which appears as a rescaling of the fluctuations affecting the FHN system.

yearjournalcountryeditionlanguage
2008-01-01
10.1140/epjb/e2008-00315-6http://arxiv.org/abs/0810.1432