具有复杂振荡模式电路系统的数值分析研究  

Numerical Analysis Study on Circuit System with Complex Oscillation Modes

作　　者：于蓉蓉[1] 谢勇[2] 尚云艳[1] YU Rongrong;XIE Yong;SHANG Yunyan(Shool of Science,Xijing University,Xi’an 710123,China;School of Aerospace/State Key Lab of Strength and Vibration of Mechanical Structures,Xi’an Jiaotong University,Xi’an 710049,China)

机构地区：[1]西京学院理学院,陕西西安710123 [2]西安交通大学航天航空学院/机械结构强度与振动国家重点实验室,陕西西安710049

出　　处：《信阳师范学院学报（自然科学版）》2021年第3期367-372,共6页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：陕西省自然科学基础研究计划青年项目(2021JQ-868);陕西省教育厅专项科研计划项目(20JK0965);国家自然科学基金项目(NSFC11672219)。

摘　　要：首先,研究模型中混合模式振荡的变化规律,通过电压的时间序列得到小振幅振荡峰峰间距序列的加周期分岔图与倍周期分岔图,以及发放数的阶梯状改变等结果.然后,在参数的"台阶"之间区域分析了混合模式振荡的阵发性混沌现象和非阵法性混沌现象.最后,探讨电路模型中的其他因素对系统混合模式产生的影响.利用小振幅振荡的峰峰间距图,发现弱扰动的频率和扰动强度大小都能改变电路系统的发放模式.First,the change rules of mixed-mode oscillations in the model were explored,and period-doubling bifurcation diagram and period-adding bifurcation diagram in the interspike interval sequences of the small amplitude oscillations were obtained through the time series of the potential.And the stepped change in the spike counts were also investigated.Then,the chaotic phenomena in array and non-array of mixed-mode oscillations were analyzed in the region between the“steps”of the parameters.Finally,the influence of other factors in the circuit model on the generation of mixed-mode in the system were discussed.By using the interspike intervals bifurcation diagram between the small oscillations,it is found that the frequency and intensity of weak disturbance can change the firing patterns of the circuit system.

关 键 词：电路 分岔 发放数 混沌 混合模式振荡 

分 类 号：O29[理学—应用数学] O39[理学—数学]