摘要
引入周期激励建立了一类光滑的三维非自治快慢耦合簇发振荡电路。通过调节外激励交变电流源的频率使系统呈现出明显的两尺度效应即快变量和慢变量,结合数值仿真与两时间尺度法分析该电路模型系统在不同激励频率和幅值下系统的簇发机理和分岔模式,并通过分数阶混沌电路对系统的动力学行为演变进行控制。结果表明:若系统固有频率与外激励频率存在量级上的差异,则系统存在明显的快慢耦合簇发现象,且外激励频率越小,幅值微变或不变时系统快慢效应和簇发现象越明显;同时利用分数阶混沌电路对动力学系统演化过程进行了有效的轨道控制。
A kind of smooth three-dimensional non-autonomous fast and slow coupled tufting oscillation circuit is established by introducing periodic excitation.By adjusting the frequency of the external excitation alternating current source,the system exhibits obvious two-scale effects,namely fast and slow variables.Combining with numerical simulation and two time scale method is used to analyze the cluster mechanism and bifurcation mode of the circuit model system under different excitation frequencies and amplitudes.The fractional chaotic circuit is used to control the evolution of the dynamic behavior of the system.The results show that if there is a difference in magnitude between the natural frequency of the system and the frequency of the external excitation,the system has obvious tufting phenomena of fast and slow coupling.The smaller the external excitation frequency is,the faster and slower the system effect when the amplitude is small or constant,and the more obvious the phenomenon is.At the same time,the fractional-order chaotic circuit is used to control the evolution of dynamic system effectively.
作者
崇富权
苏程
张艳龙
Chong Fuquan;Su Cheng;Zhang Yanlong(School of Mechatronics Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《机械科学与技术》
CSCD
北大核心
2019年第3期373-378,共6页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学基金项目(11302092)资助
关键词
两尺度效应
快慢耦合
簇发振荡
分岔模式
分数阶控制
two-scale effect
fast-slow coupling
tufting oscillation
bifurcation mode
fractional control
