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Chimera states on non-regular higher-order structures

15 May 2024
11:00 am
San Francesco Complex - Sagrestia

Chimera states are dynamical states where coherent and incoherent behaviours coexist in the same system. In the framework of network systems, where the basic units are coupled in pairs, the presence of a regular, non-local and linear coupling topology very often leads to the emergence of chimera states. In general, the term ‘nonlocal’ is applied for large systems of interacting particles where a single particle can interact not only with its nearest neighbours but also with particles far away. Evidence of such collective behaviour has been gathered in several domains, such as chemical reactions, power grids, coupled biochemical oscillators, neural networks, etc. In contrast to pairwise interactions, higher-order interactions refer to cases where more than two entities are allowed to interact, i.e., many-body interactions, and they play an important role in various fields of science, e.g., social science, economy, and engineering. Chimera states have been recently investigated on higher-order structures, where it was shown, by using the Kuramoto model, that chimera is enhanced by non-local and regular high-order interactions. In this work, we focus our attention to higher-order interactions, showing that chimera states can be observed also when the coupling, besides being nonlocal, is also non-regular. For comparison, we show that, when higher-order interactions are “flattened” (i.e., projected) to pairwise ones, the chimera behaviour is weaker and more elusive.


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Thierry Njougouo, IMT School for Advanced Studies Lucca