80 research outputs found
Equation-free detection and continuation of a Hopf bifurcation point in a particle model of pedestrian flow
Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapses
Electrical and chemical synapses shape the dynamics of neural networks and
their functional roles in information processing have been a longstanding
question in neurobiology. In this paper, we investigate the role of synapses on
the optimization of the phenomenon of self-induced stochastic resonance in a
delayed multiplex neural network by using analytical and numerical methods. We
consider a two-layer multiplex network, in which at the intra-layer level
neurons are coupled either by electrical synapses or by inhibitory chemical
synapses. For each isolated layer, computations indicate that weaker electrical
and chemical synaptic couplings are better optimizers of self-induced
stochastic resonance. In addition, regardless of the synaptic strengths,
shorter electrical synaptic delays are found to be better optimizers of the
phenomenon than shorter chemical synaptic delays, while longer chemical
synaptic delays are better optimizers than longer electrical synaptic delays --
in both cases, the poorer optimizers are in fact worst. It is found that
electrical, inhibitory, or excitatory chemical multiplexing of the two layers
having only electrical synapses at the intra-layer levels can each optimize the
phenomenon. And only excitatory chemical multiplexing of the two layers having
only inhibitory chemical synapses at the intra-layer levels can optimize the
phenomenon. These results may guide experiments aimed at establishing or
confirming the mechanism of self-induced stochastic resonance in networks of
artificial neural circuits, as well as in real biological neural networks.Comment: 24 pages, 7 figure
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