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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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/2437737 |
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| author | Janarthanan Ramadoss Sajedeh Aghababaei Fatemeh Parastesh Karthikeyan Rajagopal Sajad Jafari Iqtadar Hussain |
| author_facet | Janarthanan Ramadoss Sajedeh Aghababaei Fatemeh Parastesh Karthikeyan Rajagopal Sajad Jafari Iqtadar Hussain |
| author_sort | Janarthanan Ramadoss |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8d322f9e2efc4c18bb7ef3165657e6b1 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8d322f9e2efc4c18bb7ef3165657e6b12025-02-03T01:24:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/24377372437737Chimera State in the Network of Fractional-Order FitzHugh–Nagumo NeuronsJanarthanan Ramadoss0Sajedeh Aghababaei1Fatemeh Parastesh2Karthikeyan Rajagopal3Sajad Jafari4Iqtadar Hussain5Centre for Artificial Intelligence, Chennai Institute of Technology, Malayambakkam, IndiaDepartment of Biomedical Engineering, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, IranDepartment of Biomedical Engineering, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, IranCentre for Nonlinear Systems, Chennai Institute of Technology, Malayambakkam, IndiaDepartment of Biomedical Engineering, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, IranDepartment of Mathematics, Statistics and Physics, Qatar University, Doha 2713, QatarThe 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.http://dx.doi.org/10.1155/2021/2437737 |
| spellingShingle | Janarthanan Ramadoss Sajedeh Aghababaei Fatemeh Parastesh Karthikeyan Rajagopal Sajad Jafari Iqtadar Hussain Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons Complexity |
| title | Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons |
| title_full | Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons |
| title_fullStr | Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons |
| title_full_unstemmed | Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons |
| title_short | Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons |
| title_sort | chimera state in the network of fractional order fitzhugh nagumo neurons |
| url | http://dx.doi.org/10.1155/2021/2437737 |
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