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Pinning Synchronization of Coupled Oscillators with Paired Topologies

ZHANG Miaosen1, LÜLU Yuezu2, WANG Qishao3, WEN Guanghui4, LIU Guohua4, XU Wenying4   

  1. 1. Chien-Shiung Wu College of SEU, Southeast University, Nanjing 211189, China;
    2. School of Mathematics, Southeast University, Nanjing 211189, China;
    3. Department of Dynamics and Control, Beihang University, Beijing 100871, China;
    4. School of Mathematics, Southeast University, Nanjing 211189, China
  • Received:2021-02-25 Revised:2021-03-27 Online:2022-10-25 Published:2022-10-12
  • Supported by:
    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.

ZHANG Miaosen, LÜLU Yuezu, WANG Qishao, WEN Guanghui, LIU Guohua, XU Wenying. Pinning Synchronization of Coupled Oscillators with Paired Topologies[J]. Journal of Systems Science and Complexity, 2022, 35(5): 1653-1667.

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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