Emergence of Synchronous Oscillations in Neural Networks Excited by Noise

Details Emergence of Synchronous Oscillations in Neural Networks Excited by Noise Emergence of Synchronous Oscillations in Neural Networks Excited by Noise

2005-07-07

arxiv.org/abs/math/0507141v1

Physica D 179 (2003) 105-114

Mathematics

Dynamical Systems

12 pages, 18 figures

Scientific paper

10.1016/S0167-2789(03)00007-1

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.

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