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

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

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.

Suggested Citation

  • Singh, Arpit & Verma, Umesh Kumar & Sharma, Amit & Mishra, Ajay & Varshney, Vaibhav, 2026. "Chimera death in limit-cycle oscillators with higher-order multilayer networks," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014742
    DOI: 10.1016/j.chaos.2025.117461
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    References listed on IDEAS

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    4. Gambuzza, L.V. & Minati, L. & Frasca, M., 2020. "Experimental observations of chimera states in locally and non-locally coupled Stuart-Landau oscillator circuits," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    5. Iacopo Iacopini & Giovanni Petri & Alain Barrat & Vito Latora, 2019. "Simplicial models of social contagion," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    6. Faghani, Zahra & Arab, Zahra & Parastesh, Fatemeh & Jafari, Sajad & Perc, Matjaž & Slavinec, Mitja, 2018. "Effects of different initial conditions on the emergence of chimera states," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 306-311.
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