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arXiv:1003.4410cond-mat.dis-nn

Dynamical Entropy Production in Spiking Neuron Networks in the Balanced State

Michael Monteforte, Fred Wolf

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Abstract

We demonstrate deterministic extensive chaos in the dynamics of large sparse networks of theta neurons in the balanced state. The analysis is based on numerically exact calculations of the full spectrum of Lyapunov exponents, the entropy production rate and the attractor dimension. Extensive chaos is found in inhibitory networks and becomes more intense when an excitatory population is included. We find a strikingly high rate of entropy production that would limit information representation in cortical spike patterns to the immediate stimulus response.

arXiv comments
4 pages, 4 figures
Journal reference
Phys. Rev. Lett. 105, 268104 (2010)
DOI
doi:10.1103/PhysRevLett.105.268104
Subjects
cond-mat.dis-nnDisordered Systems and Neural Networks nlin.CDChaotic Dynamics q-bio.NCNeurons and Cognition

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