中国物理B ›› 2022, Vol. 31 ›› Issue (1): 10503-010503.doi: 10.1088/1674-1056/ac16d3

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Explosive synchronization in a mobile network in the presence of a positive feedback mechanism

Dong-Jie Qian(钱冬杰)   

  1. Jiangsu Provincial Sensor Network Engineering Technology Research Center, Wuxi Institute of Technology, Wuxi 214121, China
  • 收稿日期:2021-01-12 修回日期:2021-05-17 接受日期:2021-07-22 出版日期:2021-12-03 发布日期:2021-12-14
  • 通讯作者: Dong-Jie Qian E-mail:15305290302@163.com
  • 基金资助:
    Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. 20KJB470030).

Explosive synchronization in a mobile network in the presence of a positive feedback mechanism

Dong-Jie Qian(钱冬杰)   

  1. Jiangsu Provincial Sensor Network Engineering Technology Research Center, Wuxi Institute of Technology, Wuxi 214121, China
  • Received:2021-01-12 Revised:2021-05-17 Accepted:2021-07-22 Online:2021-12-03 Published:2021-12-14
  • Contact: Dong-Jie Qian E-mail:15305290302@163.com
  • Supported by:
    Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. 20KJB470030).

摘要: Synchronization is a process that describes the coherent dynamics of a large ensemble of interacting units. The study of explosive synchronization transition attracts considerable attention. Here, I report the explosive transition within the framework of a mobile network, while each oscillator is controlled by global-order parameters of the system. Using numerical simulation, I find that the explosive synchronization (ES) transition behavior can be controlled by simply adjusting the fraction of controlled oscillators. The influences of some parameters on explosive synchronization are studied. Moreover, due to the presence of the positive feedback mechanism, I prevent the occurrence of the synchronization of continuous-phase transition and make phase transition of the system a first-order phase transition accompanied by a hysteresis loop.

关键词: complex network, explosive synchronization, positive feedback, mobile agent

Abstract: Synchronization is a process that describes the coherent dynamics of a large ensemble of interacting units. The study of explosive synchronization transition attracts considerable attention. Here, I report the explosive transition within the framework of a mobile network, while each oscillator is controlled by global-order parameters of the system. Using numerical simulation, I find that the explosive synchronization (ES) transition behavior can be controlled by simply adjusting the fraction of controlled oscillators. The influences of some parameters on explosive synchronization are studied. Moreover, due to the presence of the positive feedback mechanism, I prevent the occurrence of the synchronization of continuous-phase transition and make phase transition of the system a first-order phase transition accompanied by a hysteresis loop.

Key words: complex network, explosive synchronization, positive feedback, mobile agent

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
89.75.-k (Complex systems) 89.75.Hc (Networks and genealogical trees) 89.75.Fb (Structures and organization in complex systems)