摘要
针对混沌研究中缺乏可进行有效可重复性实验混沌振动平台问题,设计混沌振动实验台架并开展实验研究。建立近似于在双势阱中粒子运动的数学模型,并分析系统动力学特性,观察到系统出现的周期解和混沌解。利用系统响应随参数变化的分岔特性,得到系统混沌参数区。在实验研究中,进一步确定混沌参数区间,并观察到了Holmes型Duffing系统中初值敏感性现象以及在通往混沌过程中出现的对称破缺分岔和倍周期分岔现象。
Currently, there is the deficiency of repeatable chaotic vibration experiments in chaotic study. In this paper, a chaotic vibration experiment platform was designed and researched. The model of approximate particle motion in double potential well was established and its dynamic characteristics were analyzed. As a result, the periodic solutions and chaotic solutions were observed. In experimental study, parameter interval of the chaos was determined. In addition, the sensitivity of initial value in Holmes Duffing system was observed. Symmetry breaking bifurcation and period doubling bifurcation were all observed in the Duffing system.
出处
《噪声与振动控制》
CSCD
2016年第2期17-20,26,共5页
Noise and Vibration Control
基金
国家自然科学基金资助项目(51179197)
关键词
振动与波
混沌实验
DUFFING系统
双势阱
分岔
vibration and wave
chaotic experiment
Duffing system
double potential well
bifurcation
