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Pinning Synchronization of Coupled Oscillators with Paired Topologies

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Abstract

This paper investigates the pinning synchronization of a group of coupled oscillators, where both the dissipative and restorative interactions are taken into consideration. The paired coupling topologies are introduced to capture this feature of the dynamics. To realize the synchronization of the coupled oscillators, the pinning control is introduced, and two pinning criteria are proposed to ensure the synchronization. Both these two proposed criteria provide sufficient and necessary conditions for pinning synchronization of the coupled oscillators with paired topologies. Simulation examples are illustrated to verify the proposed theoretical results.

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Author information

Authors and Affiliations

  1. Chien-Shiung Wu College of SEU, Southeast University, Nanjing, 211189, China

    Miaosen Zhang

  2. School of Mathematics, Southeast University, Nanjing, 211189, China

    Yuezu Lü

  3. Department of Dynamics and Control, Beihang University, Beijing, 100871, China

    Qishao Wang

  4. School of Mathematics, Southeast University, Nanjing, 211189, China

    Guanghui Wen, Guohua Liu & Wenying Xu

Authors
  1. Miaosen Zhang
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  2. Yuezu Lü
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  3. Qishao Wang
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  4. Guanghui Wen
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  5. Guohua Liu
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  6. Wenying Xu
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Corresponding author

Correspondence to Guohua Liu.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 62073079 and 61903083, the Natural Science Foundation of Jiangsu Province of China under Grant No. BK20190333, the Six Talent Peaks of Jiangsu Province under Grant No. 2019-DZXX-006, the Australian Research Council under Grant No. DP200101199, and the Fundamental Research Funds for the Central Universities under Grant No. 2242021R41116.

This paper was recommended for publication by Editor SUN Jian.

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Zhang, M., Lü, Y., Wang, Q. et al. Pinning Synchronization of Coupled Oscillators with Paired Topologies. J Syst Sci Complex 35, 1653–1667 (2022). https://doi.org/10.1007/s11424-022-1043-6

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  • DOI: https://doi.org/10.1007/s11424-022-1043-6

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