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Chimeras in complex networks: A gear by nonlinear mean-field

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  • Paul Asir, M.

Abstract

We investigate a network of oscillators with a nonlinear memristive mean-field along with non-local interaction. We found the culmination of interesting chimeric patterns. With the change in the range of interaction the symmetric breaking bifurcation lead to chimeras. We derive analytically the critical condition for the appearance of chimera in the mean-field limit. The chimeras are characterized by the average of the local curvature of the node. We also explored the emergence of chimeric patterns in a network by replacing the non-local topology with random links. We found that the clustering of the nearby state to the solitary state causes the chimeras in random configuration with a memristive mean-field. The findings are illustrated through numerical simulations.

Suggested Citation

  • Paul Asir, M., 2023. "Chimeras in complex networks: A gear by nonlinear mean-field," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003661
    DOI: 10.1016/j.chaos.2023.113465
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    References listed on IDEAS

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    1. Wu, Fuqiang & Wang, Chunni & Jin, Wuyin & Ma, Jun, 2017. "Dynamical responses in a new neuron model subjected to electromagnetic induction and phase noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 81-88.
    2. Parastesh, Fatemeh & Jafari, Sajad & Azarnoush, Hamed & Hatef, Boshra & Bountis, Anastasios, 2018. "Imperfect chimeras in a ring of four-dimensional simplified Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 203-208.
    3. Ma, Jun & Mi, Lv & Zhou, Ping & Xu, Ying & Hayat, Tasawar, 2017. "Phase synchronization between two neurons induced by coupling of electromagnetic field," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 321-328.
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