领导者驱动下频率权重耦合复杂系统的同步

doi:10.12066/j.issn.1007-2861.2047

上海大学学报(自然科学版) ›› 2020, Vol. 26 ›› Issue (3): 393-400.doi: 10.12066/j.issn.1007-2861.2047

领导者驱动下频率权重耦合复杂系统的同步

金彦亮(), 朱怀清, 齐崎, 周润滋

上海大学通信与信息工程学院, 上海 200444

收稿日期:2018-03-26 出版日期:2020-06-30 发布日期:2020-01-13
通讯作者: 金彦亮 E-mail:jinyanliang@staff.shu.edu.cn

Synchronization of frequency-weighted coupled complex systems driven by leader

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

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

摘要/Abstract

摘要：

大量振子相互耦合后形成的复杂系统广泛存在于现实世界中. 复杂系统不仅经耦合作用形成自发的同步, 还常常受到外界的影响而表现出复杂的动力学行为. 研究了当振子受到外界领导者节点的驱动时系统的同步这一重要的集体动力学行为; 给出了 Kuramoto 振子组成的频率权重耦合的系统在受外界领导者驱动时, 系统转变为驱动同步的条件. 被驱动的振子的数量和振子的频率权重会影响系统转变为驱动同步的难易度. 数值模拟结果证明了该成果的正确性.

关键词: 复杂系统, 外界驱动, 同步

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

中图分类号:

TN711.4

金彦亮, 朱怀清, 齐崎, 周润滋. 领导者驱动下频率权重耦合复杂系统的同步[J]. 上海大学学报(自然科学版), 2020, 26(3): 393-400.

JIN Yanliang, ZHU Huaiqing, QI Qi, ZHOU Runzi. Synchronization of frequency-weighted coupled complex systems driven by leader[J]. Journal of Shanghai University（Natural Science Edition）, 2020, 26(3): 393-400.

图/表 3

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领导者驱动下频率权重耦合复杂系统的同步

Synchronization of frequency-weighted coupled complex systems driven by leader

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