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

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.

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.