Comput Math Methods Med - Synchronization of coupled different chaotic FitzHugh-Nagumo neurons with unknown parameters under communication-direction-dependent coupling.

Tópicos

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Resumo

This paper investigates the chaotic behavior and synchronization of two different coupled chaotic FitzHugh-Nagumo (FHN) neurons with unknown parameters under external electrical stimulation (EES). The coupled FHN neurons of different parameters admit unidirectional and bidirectional gap junctions in the medium between them. Dynamical properties, such as the increase in synchronization error as a consequence of the deviation of neuronal parameters for unlike neurons, the effect of difference in coupling strengths caused by the unidirectional gap junctions, and the impact of large time-delay due to separation of neurons, are studied in exploring the behavior of the coupled system. A novel integral-based nonlinear adaptive control scheme, to cope with the infeasibility of the recovery variable, for synchronization of two coupled delayed chaotic FHN neurons of different and unknown parameters under uncertain EES is derived. Further, to guarantee robust synchronization of different neurons against disturbances, the proposed control methodology is modified to achieve the uniformly ultimately bounded synchronization. The parametric estimation errors can be reduced by selecting suitable control parameters. The effectiveness of the proposed control scheme is illustrated via numerical simulations.

Resumo Limpo

paper investig chaotic behavior synchron two differ coupl chaotic fitzhughnagumo fhn neuron unknown paramet extern electr stimul ee coupl fhn neuron differ paramet admit unidirect bidirect gap junction medium dynam properti increas synchron error consequ deviat neuron paramet unlik neuron effect differ coupl strength caus unidirect gap junction impact larg timedelay due separ neuron studi explor behavior coupl system novel integralbas nonlinear adapt control scheme cope infeas recoveri variabl synchron two coupl delay chaotic fhn neuron differ unknown paramet uncertain ee deriv guarante robust synchron differ neuron disturb propos control methodolog modifi achiev uniform ultim bound synchron parametr estim error can reduc select suitabl control paramet effect propos control scheme illustr via numer simul

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