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Synchronization of Unidirectional Ring Structured Identical Fitzhugh-Nagumo Network under Ionic and External Electrical Stimulations

정일효|IBRAHIMMALIK MUHAMMAD
영남수학회 (Youngnam Mathematical Society)|2020.09|East Asian Mathematical Journal|제36권 제5호|pp. 547-554

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참고문헌

키워드

SynchronizationLyapunov stabilityFitzHugh-Nagumoneuronal networkAdaptive control theory.
주제분류수학

초록

SynchronizationofunidirectionalidenticalFitzHugh-Nagumo systems coupled in a ring structure under ionic and external electrical stim- ulations is investigated. In this network, each neuron is only connected and transmit signals to its next neuron via synaptic strength called gap- junctions. Adaptive control theory and Lyapunov stability theory are used to propose a unique control scheme with necessary and sufficient condi- tions which guarantee the synchronization of the neuronal network. Fi- nally, the effectiveness of the proposed scheme is shown through numerical simulations.

Abstract

SynchronizationofunidirectionalidenticalFitzHugh-Nagumo systems coupled in a ring structure under ionic and external electrical stim- ulations is investigated. In this network, each neuron is only connected and transmit signals to its next neuron via synaptic strength called gap- junctions. Adaptive control theory and Lyapunov stability theory are used to propose a unique control scheme with necessary and sufficient condi- tions which guarantee the synchronization of the neuronal network. Fi- nally, the effectiveness of the proposed scheme is shown through numerical simulations.

참고문헌 (20)

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