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Mean-field equations, bifurcation map and chaos in discrete time, continuous state, random neural networks
Acta Biotheoretica 43 (1-2):169-175 (1995)
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.My notes
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References found in this work
How brains make chaos in order to make sense of the world.Christine A. Skarda & Walter J. Freeman - 1987 - Behavioral and Brain Sciences 10 (2):161-173.
Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties.Charles M. Gray, P. Kreiter Konig, Andreas K. Engel & Wolf Singer - 1992 - Nature 338:334-7.
On the existence and the role of chaotic processes in the nervous system.B. Doyon - 1992 - Acta Biotheoretica 40 (2-3):113-119.
On bifurcations and chaos in random neural networks.B. Doyon, B. Cessac, M. Quoy & M. Samuelides - 1994 - Acta Biotheoretica 42 (2-3):215-225.
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