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Persistence of chimera states and the challenge for synchronization in real-world networks

Author

Listed:
  • Riccardo Muolo

    (University of Namur
    Tokyo Institute of Technology)

  • Joseph D. O’Brien

    (University of Limerick
    Acadia)

  • Timoteo Carletti

    (University of Namur)

  • Malbor Asllani

    (Florida State University)

Abstract

The emergence of order in nature manifests in different phenomena, with synchronization being one of the most representative examples. Understanding the role played by the interactions between the constituting parts of a complex system in synchronization has become a pivotal research question bridging network science and dynamical systems. Particular attention has been paid to the emergence of chimera states, where subsets of synchronized oscillations coexist with asynchronous ones. Such coexistence of coherence and incoherence is a perfect example where order and disorder can persist in a long-lasting regime. Although considerable progress has been made in recent years to understand such coherent and (coexisting) incoherent states, how they manifest in real-world networks remains to be addressed. Based on a pattern formation mechanism, in this paper, we shed light on the role that non-normality, a ubiquitous structural property of real networks, has in the emergence of several diverse dynamical phenomena, e.g., amplitude chimeras or oscillon patterns. Specifically, we demonstrate that the prevalence of source or leader nodes in networks leads to the manifestation of phase chimera states. Throughout the paper, we emphasize that non-normality poses ongoing challenges to global synchronization and is instrumental in the emergence of chimera states. Graphic abstract

Suggested Citation

  • Riccardo Muolo & Joseph D. O’Brien & Timoteo Carletti & Malbor Asllani, 2024. "Persistence of chimera states and the challenge for synchronization in real-world networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(1), pages 1-16, January.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:1:d:10.1140_epjb_s10051-023-00630-y
    DOI: 10.1140/epjb/s10051-023-00630-y
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    References listed on IDEAS

    as
    1. Malbor Asllani & Tommaso Biancalani & Duccio Fanelli & Alan J. McKane, 2013. "The linear noise approximation for reaction-diffusion systems on networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(11), pages 1-10, November.
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