摘要
通过利用阈值策略控制(TPC),本文提出了一个具有周期强迫的Filippov Brusselator系统.基于Brusselator系统的平衡点的存在性和稳定性分析,研究了Filippov Brusselator系统的滑动周期解的存在性和稳定性,以及滑动区域与周期解之间的关系,并采用数值模拟探究了不同的关键参数对其周期解振荡模式的影响.结果表明:当关键参数发生变化时,该系统的周期解的振荡模式也会发生变化.
In this paper,by using the threshold policy control (TPC),a Filippov Brusselator system with periodic forcing is proposed.Based on the analysis of existence and stability of the equilibrium of the Brusselator system,the existence and stability of the sliding periodic solution of the Filippov Brusselator system are studied.The relations between the sliding region and the periodic solution of the Filippov Brusselator system are discussed.The effects of different key parameters on oscillation modes of periodic solution of the system through numerical simulation are also investigated.The results show that when the key parameters change,the oscillation mode of the periodic solution of the system also changes.
作者
刘丽荣
曹荣磊
向长城
LIU Lirong;CAO Ronglei;XIANG Changcheng(School of Science,Hubei Minzu University,Enshi 445000,China)
出处
《湖北民族学院学报（自然科学版）》
CAS
2019年第3期257-265,共9页
Journal of Hubei Minzu University(Natural Science Edition)
基金
国家自然科学基金项目(11761031)
