噪声与振动控制2017，Vol.37Issue(5)：33-37,45,6.DOI:10.3969/j.issn.1006-1355.2017.05.007
周期激励Ueda电路系统的双参数特性分析
Double-parameter Characteristics Analysis of Ueda Circuit Systems with Periodic Excitation
摘要
Abstract
The top Lyapunov exponent of the Ueda circuit system with periodic excitation on the double-parameter plane is calculated, and the parameter regions of periodic motion, quasi-periodic motion and chaotic motion of the system are obtained. With the single-parameter bifurcation diagrams and Poincaré section maps, the influence of multi-parameter coupling on the system motion stability is discussed, and the bifurcation and chaos processes of the system on the double-parameter plane are also studied. The results show that the system local dynamic characteristics are very complex under different parameters coupling. The influence of the mutual coupling among the parameters on the process of bifurcation and chaos of the system is very obvious. When the external excitation amplitude is less than 1.0, the system exhibits quasi-periodic motion in the region where the external excitation frequency is less than 1.181 or greater than 1.936. When the external excitation amplitude is greater than 1.0, the system exhibits periodic motion and chaotic motion alternatively in the range of the external excitation frequency below 0.9 or above 2.5. When the system parameters are selected appropriately, the system motion will evolve into periodic motion from the quasi-periodic motion through phase lock, and then get into chaotic motion through multi-periodic bifurcation. Under the given system parameters, the system oscillator shows chatter motion when the external excitation frequency is less than 0.2.关键词
振动与波/Ueda电路/多参数匹配特性/Lyapunov指数/分岔Key words
vibration and wave/Ueda circuit/multi-parameter matching characteristic/Lyapunov exponent/bifurcation分类
数理科学引用本文复制引用
张艳龙,石建飞,王丽..周期激励Ueda电路系统的双参数特性分析[J].噪声与振动控制,2017,37(5):33-37,45,6.基金项目
国家自然科学基金资助项目(11302092) （11302092）
