Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons

The fractional calculus in the neuronal models provides the memory properties. In the fractional-order neuronal model, the dynamics of the neuron depends on the derivative order, which can produce various types of memory-dependent dynamics. In this paper, the behaviors of the coupled fractional-orde...

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Published inComplexity (New York, N.Y.) Vol. 2021; no. 1
Main Authors Ramadoss, Janarthanan, Aghababaei, Sajedeh, Parastesh, Fatemeh, Rajagopal, Karthikeyan, Jafari, Sajad, Hussain, Iqtadar
Format Journal Article
LanguageEnglish
Published Hoboken Hindawi 01.01.2021
Hindawi Limited
Wiley
Subjects
Behavior
Couplings
Fractional calculus
Neurons
Synchronism
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Summary:The fractional calculus in the neuronal models provides the memory properties. In the fractional-order neuronal model, the dynamics of the neuron depends on the derivative order, which can produce various types of memory-dependent dynamics. In this paper, the behaviors of the coupled fractional-order FitzHugh–Nagumo neurons are investigated. The effects of the coupling strength and the derivative order are under consideration. It is revealed that the level of the synchronization is decreased by decreasing the derivative order, and the chimera state emerges for stronger couplings. Furthermore, the patterns of the formed chimeras rely on the order of the derivatives.
ISSN:1076-2787
1099-0526
DOI:10.1155/2021/2437737