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arXiv · 1412.3889

Stochastic synchronization of neural activity waves

Zachary P. Kilpatrick
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Abstract

We demonstrate that waves in distinct layers of a neuronal network can become phase-locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, traveling waves, and breathers. A weak noise expansion is used to derive an effective equation for the position of the wave in each layer, yielding a stochastic differential equation with multiplicative noise. Stability of the synchronous state is characterized by a Lyapunov exponent, which we can compute analytically from the reduced system. Our results extend previous work on limit-cycle oscillators, showing common noise can synchronize waves in a broad class of models.

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Zachary P. Kilpatrick. 2014-12-12. Stochastic synchronization of neural activity waves. https://doi.org/10.1103/physreve.91.040701

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