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

doi:10.1088/1674-1056/ac16d3

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.

Keywords: complex network explosive synchronization positive feedback mobile agent

Received: 12 January 2021
Revised: 17 May 2021
Accepted manuscript online: 22 July 2021

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	89.75.-k	(Complex systems)
	89.75.Hc	(Networks and genealogical trees)
	89.75.Fb	(Structures and organization in complex systems)

Fund: Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. 20KJB470030).

Corresponding Authors: Dong-Jie Qian
E-mail: 15305290302@163.com

Cite this article:

Dong-Jie Qian(钱冬杰) Explosive synchronization in a mobile network in the presence of a positive feedback mechanism 2022 Chin. Phys. B 31 010503

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