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

Author

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  • Janarthanan Ramadoss
  • Sajedeh Aghababaei
  • Fatemeh Parastesh
  • Karthikeyan Rajagopal
  • Sajad Jafari
  • Iqtadar Hussain
  • Guillermo Huerta Cuellar

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.

Suggested Citation

  • Janarthanan Ramadoss & Sajedeh Aghababaei & Fatemeh Parastesh & Karthikeyan Rajagopal & Sajad Jafari & Iqtadar Hussain & Guillermo Huerta Cuellar, 2021. "Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons," Complexity, Hindawi, vol. 2021, pages 1-9, June.
    • Handle: RePEc:hin:complx:2437737
    DOI: 10.1155/2021/2437737
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    Cited by:

    1. Echenausía-Monroy, J.L. & Gilardi-Velázquez, H.E. & Wang, Ning & Jaimes-Reátegui, R. & García-López, J.H. & Huerta-Cuellar, G., 2022. "Multistability route in a PWL multi-scroll system through fractional-order derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Gayathri Vivekanandan & Mahtab Mehrabbeik & Hayder Natiq & Karthikeyan Rajagopal & Esteban Tlelo-Cuautle, 2022. "Fractional-Order Memristive Wilson Neuron Model: Dynamical Analysis and Synchronization Patterns," Mathematics, MDPI, vol. 10(16), pages 1-9, August.
    3. Ngueuteu Mbouna, S.G. & Banerjee, Tanmoy & Yamapi, René & Woafo, Paul, 2022. "Diverse chimera and symmetry-breaking patterns induced by fractional derivation effect in a network of Stuart-Landau oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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