【作者】 张睿； 代学武； 崔东亮； 俞胜平；

【Author】 Rui Zhang;Xuewu Dai;Dongliang Cui;Shengping Yu;The State Key Laboratory of Synthetical Automation for Process Industries Northeastern University;

【机构】 东北大学流程工业综合自动化国家重点实验室；

【摘要】 Kuramoto模型是同步模型中具有代表性的可解模型,当振子只与相邻振子存在耦合关系时,称这种模型为双向耦合的Kuramoto模型。在双向耦合的Kuramoto模型中,N个自然频率相同的振子均匀分布在单位圆上,此时,振子系统处于反相同步状态。本文将讨论双向耦合Kuramoto模型在反相同步情况下,当振子初始相位存在偏差时,可恢复到反相同步状态的初始相位稳定性范围与加入阻挫控制器后振子可恢复到反相同步状态的初始相位稳定性范围相比较,得出后者具有更优的稳定性范围的结论。更多还原

【Abstract】 Kuramoto model is a representative solvable model in synchronous model. When coupling relationship exists between oscillators and neighboring oscillators, Kuramoto model is called bidirectionally coupled Kuramoto model. In the bidirectionally coupled Kuramoto model, N oscillators with the same natural frequency are uniformly distributed on the unit circle, and at this time, the oscillator subsystem is in the state of inverse phase synchronization. This article will discuss the bidirectionally coupling Kuramoto model in reverse phase synchronous cases, when there exist deviations in oscillator initial phase can be restored to reverse phase synchronization state of the initial phase stability range and after joining the controller vibrator can restore to the anti-phase synchronization state, in comparison with the initial phase stability range of the scope of the latter has better stability conclusions.更多还原