全文链接
https://opaj.napstic.cn/periodicalArticle/downloadReview/0120160512300074
Holmes型Duffing系统动力学特性仿真及实验OACSCDCSTPCD
Simulation and Experimental Study on the Dynamic Characteristics of the Holmes Duffing System
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.
孙方旭;刘树勇;何其伟
海军工程大学 动力工程学院，武汉 430033海军工程大学 动力工程学院，武汉 430033海军工程大学 动力工程学院，武汉 430033
数理科学
振动与波混沌实验Duffing系统双势阱分岔
vibration and wavechaotic experimentDuffing systemdouble potential wellbifurcation
《噪声与振动控制》 2016 (2)
潜艇机械非线性混沌振动快速识别技术研究
17-20,26,5
国家自然科学基金资助项目（51179197）
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