复杂网络中时间尺度对耦合振子振幅死亡的影响  

The effects of the time scale on the amplitude death in the coupled oscillators with complex network

作　　者：刘维清[1] 吴徽 Liu Weiqing;Wu Hui(School of Science,Jiangxi University of Science and Technology,Ganzhou 341000,China)

机构地区：[1]江西理工大学理学院,江西赣州341000

出　　处：《河南师范大学学报（自然科学版）》2021年第5期40-45,F0002,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11765008);江西省科技厅重点项目(2020038).

摘　　要：研究耦合振子的时间尺度与振子相互作用的网络结构对整个耦合系统达到振幅死亡所需的临界耦合强度的影响.结果表明,当振子的时间尺度与所在节点的度正相关时,随着相关强度系数的增加,耦合振子系统达到振幅死亡的参数区间先增加后减小.当正相关强度较弱时,度大的节点先走向振幅死亡,反之,度小的节点先走向振幅死亡,度大的点后走向振幅死亡.当振子的时间尺度与所在节点的度负相关时,随着相关强度系数增加,耦合振子系统达到振幅死亡的参数区间先增加后不变.研究成果可以为理解网络结构对耦合系统动力学的影响分析提供理论支持.The effects of the time scale related to the network structural parameter on the critical coupling strength needed for amplitude death of coupled oscillators are explored.With the positive coherence between the time scale and the degree of the nodes becomes stronger,the parameter space of amplitude death firstly increases then decreases.As the coherence becomes weak,the nodes with the largest degree transit to amplitude death first.While the nodes with the smallest degree transit to amplitude death first as the coherence becomes strong.With the negative coherence between the time scale and the degree of the nodes,the increment of the coherence tends to enlarge the parameters space of amplitude death to a constant value.The results are beneficial to better understand the effects of the network structural parameters on the dynamics of the coupled system.

关 键 词：振幅死亡 时间尺度 正相关 负相关 

分 类 号：O415.5[理学—理论物理]