Journal of Shanghai University(Natural Science Edition) ›› 2020, Vol. 26 ›› Issue (3): 393-400.doi: 10.12066/j.issn.1007-2861.2047

• Research Articles • Previous Articles     Next Articles

Synchronization of frequency-weighted coupled complex systems driven by leader

JIN Yanliang(), ZHU Huaiqing, QI Qi, ZHOU Runzi   

  1. School of Communication and Information Engineering, Shanghai University, Shanghai 200444, China
  • Received:2018-03-26 Online:2020-06-30 Published:2020-01-13
  • Contact: JIN Yanliang E-mail:jinyanliang@staff.shu.edu.cn

Abstract:

The complex systems which consist of a large number of coupled oscillators are widely present in the real world. Complex systems not only form spontaneous synchronization through coupling, but also often suffer from external influences and exhibit complex dynamic behavior. This paper studies the important collective dynamic behavior known as systems synchronization when the oscillators are driven by an external leader node. It lays out the conditions under which the frequency-weighted coupled system consisting of Kuramoto oscillators becomes synchronized when the system is driven by an external leader. The number and the frequency-weight of the driven oscillators affect the ease of the system transitions to driven synchronization. The simulation result shows that the results obtained are correct.

Key words: complex system, external drive, synchronization

CLC Number: