Chimera death in limit-cycle oscillators with higher-order multilayer networks

Arpit Singh, Umesh Kumar Verma, Amit Sharma, Ajay Mishra and Vaibhav Varshney

Chaos, Solitons & Fractals, 2026, vol. 202, issue P1

Abstract: We report the emergence of chimera death, and different type of steady states in a two-layer network coupled with both pairwise and higher-order coupling. In this framework, the first layer consists of Stuart–Landau oscillators interacting through a hyper-ring configuration with 1-simplex and 2-simplex coupling, while the second layer consists of dynamic agents that also interact via 1-simplex and 2-simplex interactions. The nonlocal interactions among the dynamic agents in the second layer induce chimera death, a homogeneous steady state, inhomogeneous steady state and multi-cluster steady state in the first layer. Furthermore, we observe that by extending the interaction range among oscillators or enhancing the coupling strength between the two layers, the system undergoes a transition from a homogeneous steady state to a chimera death state or inhomogeneous steady state. These findings provide insight into the control and modulation of chimera states in higher-order coupled oscillator networks.

Keywords: Higher-order networks; Multilayer networks; Chimera (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014742

DOI: 10.1016/j.chaos.2025.117461

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