低通滤波器对时延耦合振子系统振幅死亡的影响  

The effects of the low pass filter on the amplitude death in the coupled oscillators with time delay

作　　者：刘维清[1] 刘汉昌 朱云[1] 许海燕 Liu Weiqing;Liu Hanchang;Zhu Yun;Xu Haiyan(School of Science,Jiangxi University of Science and Technology,Ganzhou 341000,China;Gannan Healthcare Vocational College,Ganzhou 341000,China)

机构地区：[1]江西理工大学理学院,江西赣州341000 [2]赣南卫生健康职业学院,江西赣州341000

出　　处：《河南师范大学学报（自然科学版）》2022年第3期113-118,共6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(20202ACBL201004).

摘　　要：研究具有不同截止频率的低通滤波器对时延耦合周期和混沌振子的振幅死亡的影响.结果表明,当耦合振子系统的耦合通道具有低通滤波特性时,其截止频率的减小有利于耦合振子系统走向振幅死亡.低通滤波效应可以使原本不存在振幅死亡的时延耦合振子系统产生振幅死亡,使原本存在的振幅死亡岛的区域面积增加.研究成果可以为理解生物系统的节律产生和控制提供理论支持.The effects of the low pass filter with different cutoff frequency on the amplitude death of coupled periodical or chaotic oscillators with time delay are explored.The decreasing cutoff frequency is beneficial to realize amplitude death in the coupled oscillators with coupling channel containing time delay and low pass filter characteristics.The low pass filter of the coupling channel tends to generate amplitude death or enlarge the amplitude death island of the coupled oscillators with time delay.The results are helpful to better understand the rhythm control of the coupled system.

关 键 词：振幅死亡 时间延迟 低通滤波器 

分 类 号：O415.5[理学—理论物理]