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A new criterion for optimizing synchrony of coupled oscillators

Author

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  • Lei, Yong
  • Xu, Xin-Jian
  • Wang, Xiaofan
  • Zou, Yong
  • Kurths, Jürgen

Abstract

Synchronization of coupled oscillators is important for understanding collective dynamics of a variety of natural and artificial systems including neuronal networks, Josephson junctions, and power grids. Despite this ubiquity, it remains unclear how the interaction between oscillator’s dynamics and coupled structure either promotes or inhibits synchrony. Here, we introduce a Lyapunov function of the system such that it can be readily optimized to enhance synchrony of even heterogeneous oscillators on sparse networks. We consider two optimizing problems: frequency allocation and network design. Numerical experiments show that the proposed criterion outperform the promising methods, which is explained by a theoretical framework of the correlation between node degree and frequency magnitude.

Suggested Citation

  • Lei, Yong & Xu, Xin-Jian & Wang, Xiaofan & Zou, Yong & Kurths, Jürgen, 2023. "A new criterion for optimizing synchrony of coupled oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000930
    DOI: 10.1016/j.chaos.2023.113192
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    References listed on IDEAS

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    1. Zhou, Ping & Hu, Xikui & Zhu, Zhigang & Ma, Jun, 2021. "What is the most suitable Lyapunov function?," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Anwar, Md Sayeed & Kundu, Srilena & Ghosh, Dibakar, 2021. "Enhancing synchrony in asymmetrically weighted multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Yang, Li-xin & Long, Bin & Jiang, Jun & Liu, Xiao-Jun, 2021. "Analysis of synchronous stability and control of multiplex oscillatory power network," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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    1. Bukhari, Ayaz Hussain & Raja, Muhammad Asif Zahoor & Alquhayz, Hani & Abdalla, Manal Z.M. & Alhagyan, Mohammed & Gargouri, Ameni & Shoaib, Muhammad, 2023. "Design of intelligent hybrid NAR-GRNN paradigm for fractional order VDP chaotic system in cardiac pacemaker with relaxation oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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