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Effects of intermittent coupling on synchronization

Author

Listed:
  • Njougouo, Thierry
  • Simo, Gaël R.
  • Louodop, Patrick
  • Fotsin, Hilaire
  • Talla, Pierre K.

Abstract

We investigate the dynamics of two coupled Rössler systems and a network of Liénard oscillators according to the probability of the considered oscillators to be coupled or not. This probability is introduced through a parameter named dp which is not necessarily a physical distance and is defined as the maximal distance between two individuals above which the coupling doesn’t exist. From the viewpoint of the coupling, we are getting into the coexistence of the coupled and uncoupled systems since the establishment or not of the connection between oscillators is related to the values of the considered state variables since the initial conditions. Some interesting behaviors such as synchronization, multichimera and clusters are obtained according to the values of the parameter dp. Numerical and Pspice results are given to validate some of our analysis.

Suggested Citation

  • Njougouo, Thierry & Simo, Gaël R. & Louodop, Patrick & Fotsin, Hilaire & Talla, Pierre K., 2020. "Effects of intermittent coupling on synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    • Handle: RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304793
    DOI: 10.1016/j.chaos.2020.110082
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    References listed on IDEAS

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    1. Escalona-Morán, M. & Cosenza, M.G. & Guillén, P. & Coutin, P., 2007. "Synchronization and clustering in electroencephalographic signals," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 820-825.
    2. Berec, Vesna, 2016. "Chimera state and route to explosive synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 75-81.
    3. Wei, Qingtao & Lü, Ling & Jia, Hao, 2019. "Research on coupled synchronization of Duffing circuit network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 247-255.
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    Cited by:

    1. Meli, Venceslas Nguefoue & Njougouo, Thierry & Kongni, Steve J. & Louodop, Patrick & Fotsin, Hilaire, 2023. "Mobile oscillators network with amplification," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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