Noise and Periodic Modulations in Neural Excitable Media
J. M. G. Vilar, R. V. Sol\'e, and J. M. Rub\'i

TL;DR
This paper investigates how noise and periodic modulations influence neural excitable media, revealing that stochastic resonance occurs under various conditions, regardless of system stability.
Contribution
It introduces a mean field model analyzing the effects of resistance and threshold oscillations on neural media, highlighting the universal presence of stochastic resonance.
Findings
Stochastic resonance occurs with resistance modulations.
Stochastic resonance occurs with threshold oscillations.
Resonance is independent of system stability (monostable or bistable).
Abstract
We have analyzed the interplay between noise and periodic modulations in a mean field model of a neural excitable medium. To this purpose, we have considered two types of modulations; namely, variations of the resistance and oscillations of the threshold. In both cases, stochastic resonance is present, irrespective of if the system is monostable or bistable.
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Taxonomy
Topicsstochastic dynamics and bifurcation · Neural dynamics and brain function · Nonlinear Dynamics and Pattern Formation
