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Activation of Neuronal Ensembles via Controlled Synchronization

Gualberto Solís-Perales*, and Juan Gonzalo Barajas-Ramírez
International Journal of Control, Automation, and Systems, vol. 15, no. 1, pp.122-128, 2017

Abstract : "In this contribution we present the activation of neuronal ensembles of Hindmarsh-Rose neurons by controlled synchronization. The main problem consists in to impose a particular spiking-bursting behavior in all the neurons of the network. We consider a network where the neurons are in its resting state, it is desired that the neurons change their resting state to a particular behavior of activation, dictated by a neuron called the reference neuron. The goal is reached by controlling some neurons in the network controlling only the membrane potential (electrical synapse). The key feature of the present contribution is that by controlling a small number of neurons in the network a desired behavior is induced in all the neurons in the network despite its network topology. The important parameters are the control gain and the coupling strength, thus the activation of the network lays down on a compromise between the control gain and the coupling strength."

Keyword : Complex networks, control of complex networks, neuron activation, synchronization.

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