Dynamical Entropy Production in Spiking Neuron Networks in the Balanced State

2010/03/31 by Michael Monteforte, Fred Wolf · 1 citation
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #cond-mat.dis-nn #nlin.CD #q-bio.NC

paper · pdf · doi:10.1103/physrevlett.105.268104

published as Phys. Rev. Lett. 105, 268104 (2010) · 4 pages, 4 figures

arxiv created 2010/12/10 · arxiv updated 2011/01/14

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.

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• Symmetry breaking and high-dimensional chaos in sparse random networks of exact firing rate models

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