【作者】 黄木养； 王艺； 文岐云； 唐媛； 薛郁；

【Author】 Huang Mu-yang;Wang Yi;Wen Qi-yun;Tang Yuan;Xue Yu;Institute of Physical Science and Technology, Guangxi University;Key Lab Relativist Astrophys;

【机构】 广西大学物理科学与工程技术学院；

【摘要】 基于无标度网络上的Kuramoto相振子系统,提出一种考虑二次谐波的Kuramoto模型,研究二次谐波对无标度网络上Kuramoto相振子系统的爆炸性同步所产生的影响。通过对耦合强度的连续增加(向前)和耦合强度的连续减少(向后)时的序参量计算,得出对应的相图;通过对度为k的相振子平均频率的计算以及对序参量随时间涨落的计算分析,结果表明:具有二次谐波的Kuramoto相振子系统呈现出一级相变的爆炸性同步,随着二次谐波强度的增加,爆炸性同步发生的临界耦合强度变小,迟滞回线的宽度变宽。对序参量的涨落分析,表明相对于同步态,非同步态的序参量涨落更大,特别是在相变点处的序参量涨落得非常剧烈,是一个极大值。更多还原

【Abstract】 Based on the Kuramoto phase oscillator system in scale-free network, a Kuramoto model considering the bi-harmonic is proposed to study the influence of the bi-harmonic on the explosive synchronization of the Kuramoto phase oscillator system in scale-free network. The corresponding phase diagrams were obtained by calculating the order parameters when the coupling strength was continuously increasing(forward) and decreasing(backward). Based on the calculation of the average frequency of oscillators which degree is k and calculation of the order parameter fluctuations over time, the results show that the Kuramoto phase oscillator system with the bi-harmonic can emerge explosive synchronization,with the increase of bi-harmonic intensity, explosive synchronization critical coupling strength decreases,The width of the hysteresis loop becomes wider.. The fluctuation analysis of the order parameters shows that the fluctuation of the order parameters in the non-synchronization state is larger than that in the synchronization state, especially the fluctuation of the order parameters at the phase transition point is very sharp, which is a maximum value.更多还原