Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons. (30th June 2021)

• Record Type: Journal Article
• Authors: Ramadoss, Janarthanan; Aghababaei, Sajedeh; Parastesh, Fatemeh; Rajagopal, Karthikeyan; Jafari, Sajad; Hussain, Iqtadar
• Other Names: Huerta Cuellar Guillermo Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-06-30
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/2437737
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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.