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Explosive synchronization of weighted mobile oscillators

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  • Xiao, Feng
  • Xie, Lingyun
  • Wei, Bo

Abstract

In recent years, explosive synchronization (ES) has attracted extensive interest due to its great significance in the study of epileptic seizures and cascading failures in the real world. In this paper, a weighting method based on the frequency mismatches and distances between linked oscillators is proposed to construct a Kuramoto-like model to study ES of mobile oscillators. An interesting phenomenon that the weighting of oscillators can induce a sudden and irreversible synchronization transition with hysteresis loop is revealed. The transition between continuous synchronization and ES can be tuned by the weighting factors. Moreover, it is found that the critical coupling strength and hysteresis loop width are affected by the initial frequency distribution, the number of oscillators, the communication radius, the setting of boundary conditions and the constant absolute velocity of oscillators.

Suggested Citation

  • Xiao, Feng & Xie, Lingyun & Wei, Bo, 2022. "Explosive synchronization of weighted mobile oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    • Handle: RePEc:eee:phsmap:v:596:y:2022:i:c:s0378437122001352
    DOI: 10.1016/j.physa.2022.127099
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    References listed on IDEAS

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    1. Alessandro Pluchino & Vito Latora & Andrea Rapisarda, 2005. "Changing Opinions In A Changing World: A New Perspective In Sociophysics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 515-531.
    2. Hao, Zhang & Xing-yuan, Wang & Peng-fei, Yan & Yu-jie, Sun, 2020. "Combination synchronization and stability analysis of time-varying complex-valued neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    3. Calderon, Cesar & Chong, Alberto & Stein, Ernesto, 2007. "Trade intensity and business cycle synchronization: Are developing countries any different?," Journal of International Economics, Elsevier, vol. 71(1), pages 2-21, March.
    4. Moses Boudourides & Gerasimos Antypas, 2002. "A Simulation of the Structure of the World-Wide Web," Sociological Research Online, , vol. 7(1), pages 9-25, March.
    5. 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).
    6. Tie-Qiao Tang & Hai-Jun Huang & Hua-Yan Shang, 2010. "A Dynamic Model For The Heterogeneous Traffic Flow Consisting Of Car, Bicycle And Pedestrian," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 159-176.
    7. Cao, Lixuan & Wu, Bin, 2021. "Eco-evolutionary dynamics with payoff-dependent environmental feedback," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
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    Cited by:

    1. Chen, Jie & Cao, Jinde & Huang, Wei, 2023. "Traffic-driven explosive synchronization with adaptive local routing in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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