Lag Synchronization of Noisy and Nonnoisy Multiple Neurobiological Coupled FitzHugh–Nagumo Networks with and without Delayed Coupling

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Author(s)
Ibrahim, Malik Muhammad
Iram, Shazia
Kamran, Muhammad Ahmad
Naeem Mannan, Malik Muhammad
Ali, Muhammad Umair
Jung, Il Hyo
Kim, Sangil
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Jafari, Sajad

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2022
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Abstract

This paper presents a methodology for synchronizing noisy and nonnoisy multiple coupled neurobiological FitzHugh–Nagumo (FHN) drive and slave neural networks with and without delayed coupling, under external electrical stimulation (EES), external disturbance, and variable parameters for each state of both FHN networks. Each network of neurons was configured by considering all aspects of real neurons communications in the brain, i.e., synapse and gap junctions. Novel adaptive control laws were developed and proposed that guarantee the synchronization of FHN neural networks in different configurations. The Lyapunov stability theory was utilized to analytically derive the sufficient conditions that ensure the synchronization of the FHN networks. The effectiveness and robustness of the proposed control laws were shown through different numerical simulations.

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Computational Intelligence and Neuroscience

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2022

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© 2022 Malik Muhammad Ibrahim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Computational neuroscience (incl. mathematical neuroscience and theoretical neuroscience)

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Life Sciences & Biomedicine

Mathematical & Computational Biology

Neurosciences

Neurosciences & Neurology

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Ibrahim, MM; Iram, S; Kamran, MA; Naeem Mannan, MM; Ali, MU; Jung, IH; Kim, S, Lag Synchronization of Noisy and Nonnoisy Multiple Neurobiological Coupled FitzHugh–Nagumo Networks with and without Delayed Coupling, Computational Intelligence and Neuroscience, 2022, 2022, pp. 5644875

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