Explosive synchronization dependence on initial conditions: The minimal Kuramoto model
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DOI: 10.1016/j.chaos.2023.113243
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- Li, Kexin & Bao, Bocheng & Ma, Jun & Chen, Mo & Bao, Han, 2022. "Synchronization transitions in a discrete memristor-coupled bi-neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
- Dai, Xiangfeng & Li, Xuelong & Gutiérrez, Ricardo & Guo, Hao & Jia, Danyang & Perc, Matjaž & Manshour, Pouya & Wang, Zhen & Boccaletti, Stefano, 2020. "Explosive synchronization in populations of cooperative and competitive oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
- G. Filatrella & A. H. Nielsen & N. F. Pedersen, 2008. "Analysis of a power grid using a Kuramoto-like model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 485-491, February.
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Cited by:
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- Zhu, Yuying & Xia, Chengyi, 2023. "Asynchronous best-response dynamics of networked anti-coordination game with payoff incentives," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
- Pal, Palash Kumar & Bhowmick, Sourav K. & Karmakar, Partha & Ghosh, Dibakar, 2023. "Mixed synchronization in multiplex networks of counter-rotating oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
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Keywords
Kuramoto model; Network; Explosive synchronization; Continuous synchronization;All these keywords.
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