Cooperative Stochastic Effects in Globally Coupled Interacting Neurons; Stochastic Resonance

We consider a network of N nonlinearly coupled neuron-like elements subject to Langevin noise and a weak periodic modulation. Through the adiabatic elimination procedure, the dynamics of a single neuron is obtained from the coupled stochastic differential equations describing the network. The bifurc...

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Bibliographic Details
Main Authors: Bulsara, A R, Schmera, G, Maren, A J, Jacobs, E W
Format: Report
Language:English
Subjects:
BIFURCATION(BIOLOGY)
Biology
DIFFERENTIAL EQUATIONS
DYNAMICS
ELIMINATION
MATHEMATICAL MODELS
MODULATION
MOTOR NEURONS
NERVE CELLS
NEURAL NETS
NOISE
PE0601153N
REPRINTS
RESONANCE
Statistics and Probability
STOCHASTIC PROCESSES
WUONRDN300031
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Summary:We consider a network of N nonlinearly coupled neuron-like elements subject to Langevin noise and a weak periodic modulation. Through the adiabatic elimination procedure, the dynamics of a single neuron is obtained from the coupled stochastic differential equations describing the network. The bifurcation properties of this 'reduced neuron' model an discussed, together with cooperative stochastic effects (e.g., stochastic resonance) that result from the presence of the modulation... Neural models, Neural networks, Stochastic resonance, Single neurons. Pub. in Physical Review Letters, p1-7 1992.