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Delay engineered solitary states in complex networks

Author

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  • Schülen, Leonhard
  • Ghosh, Saptarshi
  • Kachhvah, Ajay Deep
  • Zakharova, Anna
  • Jalan, Sarika

Abstract

We present a technique to engineer solitary states by means of delayed links in a network of neural oscillators and in coupled chaotic maps. Solitary states are intriguing partial synchronization patterns, where a synchronized cluster coexists with solitary nodes displaced from this cluster and distributed randomly over the network. We induce solitary states in the originally synchronized network of identical nodes by introducing delays in the links for a certain number of selected network elements. It is shown that the extent of displacement and the position of solitary elements can be completely controlled by the choice (values) and positions (locations) of the incorporated delays, reshaping the delay engineered solitary states in the network.

Suggested Citation

  • Schülen, Leonhard & Ghosh, Saptarshi & Kachhvah, Ajay Deep & Zakharova, Anna & Jalan, Sarika, 2019. "Delay engineered solitary states in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 290-296.
    • Handle: RePEc:eee:chsofr:v:128:y:2019:i:c:p:290-296
    DOI: 10.1016/j.chaos.2019.07.046
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    Cited by:

    1. Schülen, Leonhard & Janzen, David A. & Medeiros, Everton S. & Zakharova, Anna, 2021. "Solitary states in multiplex neural networks: Onset and vulnerability," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Alexandros Rontogiannis & Astero Provata, 2021. "Chimera states in FitzHugh–Nagumo networks with reflecting connectivity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(5), pages 1-12, May.
    3. Nganso, E. Njinkeu & Mbouna, S.G. Ngueuteu & Yamapi, R. & Filatrella, G. & Kurths, J., 2023. "Two-attractor chimera and solitary states in a network of nonlocally coupled birhythmic van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Rybalova, E.V. & Zakharova, A. & Strelkova, G.I., 2021. "Interplay between solitary states and chimeras in multiplex neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).

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