Complete synchronization in coupled type-I neurons

Abstract

For a system of type-I neurons bidirectionally coupled through a nonlinear feedback mechanism, we discuss the issue of noise-induced complete synchronization (CS). For the inputs to the neurons, we point out that the rate of change of instantaneous frequency with the instantaneous phase of the stochastic inputs to each neuron matches exactly with that for the other in the event of CS of their outputs. Our observation can be exploited in practical situations to produce completely synchronized outputs in artificial devices. For excitatory-excitatory synaptic coupling, a functional dependence for the synchronization error on coupling and noise strengths is obtained. Finally we report an observation of noise-induced CS between non-identical neurons coupled bidirectionally through random non-zero couplings in an allto-all way in a large neuronal ensemble.

Noise-induced synchronization in bidirectionally coupled type-I neurons

“…Although CS is widely believed to happen between identical systems, and CS between non-identical systems is not usually expected, we have shown in a different work 15 that in an ensemble of two hundred non-identical bidirectionally coupled type-I neurons with random strengths coupled in an all-to-all way, near complete synchronization does indeed unexpectedly occur under the influence of weak Gaussian white noise.…”

“…Noise-induced synchronization in bidirectionally coupled type-I neurons neurons reveals that the noise-induced CS state gives way beyond a critical coupling and noise strength, to a desynchronized regime and then to subsequent locking to a different partially synchronized state. We find that the value of the critical coupling constant is proportional to the square root of the noise strength 15 . We were unable to achieve CS (noise-induced or otherwise) in a system of only two bidirectionally coupled non-identical inhibitory-excitatory neurons, although we showed in 15 that in a larger ensemble, non-identical neurons can exhibit noise-induced CS.…”

“…to name a few. Synchronous activity in neuronal ensembles in particular, have received a great deal of attention and numerous studies have been done on the spiking patterns of neurons and neuronal networks [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] . Neuronal ensembles perform complex tasks and can extract different kinds of features from the information they receive and it is believed that cognitive tasks such as feature extraction and recognition, sensory perception, etc., are brought about by synchronous neuronal activity.…”

“…Neuronal ensembles perform complex tasks and can extract different kinds of features from the information they receive and it is believed that cognitive tasks such as feature extraction and recognition, sensory perception, etc., are brought about by synchronous neuronal activity. The mechanisms and dynamics of synchronization phenomena in neurons are therefore of great interest [7][8][9][10][11][12][13][14][15][16][17] . a) Corresponding author; Electronic mail: janaki05@gmail.com Neurons are of many kinds (see for instance 18 ), but they may be broadly classified into two types based on their excitability mechanisms.…”

Inhibitory coherence in a heterogeneous population of subthreshold and suprathreshold type-I neurons

“…In contrast, type-II neurons exhibit damped subthreshold oscillations and act as resonators: they prefer oscillatory input with the same frequency as that of damped oscillations. According to their excitability type, neurons make distinctly different responses to stimuli, which have important implications for their distinct roles in generating population rhythms [23][24][25][26][27].…”