Mean-field equations, bifurcation map and chaos in discrete time, continuous state, random neural networks

B Doyon; B Cessac; M Quoy; M Samuelides

doi:10.1007/BF00709441

Mean-field equations, bifurcation map and chaos in discrete time, continuous state, random neural networks

Acta Biotheor. 1995 Jun;43(1-2):169-75. doi: 10.1007/BF00709441.

Authors

B Doyon¹, B Cessac, M Quoy, M Samuelides

Affiliation

¹ Unité INSERM 230, Service de Neurologie, CHU Purpan, Toulouse, France.

PMID: 7709685
DOI: 10.1007/BF00709441

Abstract

The dynamical behaviour of a very general model of neural networks with random asymmetric synaptic weights is investigated in the presence of random thresholds. Using mean-field equations, the bifurcations of the fixed points and the change of regime when varying control parameters are established. Different areas with various regimes are defined in the parameter space. Chaos arises generically by a quasi-periodicity route.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Models, Neurological*
Nerve Net / physiology*
Neurons / physiology
Nonlinear Dynamics*
Periodicity