Emergence of Synchronous Oscillations in Neural Networks Excited by Noise

Preprint

7 July 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0507141

Abstract

The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological system is the impulse transmission in neurons and the synchronization of a neural network. Integrating numerically the Fokker-Planck equation we show a self-induced synchronized oscillation. Such an oscillatory state appears in a neural network coupled with a feedback term, when this system is excited by noise and the noise strength is within a certain range.

Keywords

DYNAMICAL SYSTEMS
EXCITED BY NOISE
IMPULSE
INTEGRATING NUMERICALLY
NETWORKS EXCITED
NEURAL NETWORK
NOISE
OSCILLATIONS IN NEURAL
SYNCHRONIZED
SYNCHRONOUS OSCILLATIONS

All Related Versions

Version 1, 2005-07-07, ArXiv
Published version: Physica D: Nonlinear Phenomena, 179 (1-2), 105.

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