摘要
非线性振动系统具有与传统线性振动系统不同的某些特点和性能,并且当参数处于一定范围内时,系统将呈现混沌状态。最大Lyapunov指数是判断非线性振动系统是否为混沌的一个重要判据。提出了利用最大Lyapunov指数来确定Duffing系统的混沌参数区间的可行性,并利用参数的分岔图进行验证。
Nonlinear vibration systems have some characteristics and properties different from traditional linear vibration systems.When the parameter is in some ranges,the system is in a chaotic state.The largest Lyapunov exponent is an essential criterion to judge whether the system is in chaos state or not.The feasibility of using the Largest Lyapunov exponent to confirm the parameter domain is presented in this paper,and it is verified by the bifurcation diagram of system.
出处
《机械与电子》
2015年第12期3-5,共3页
Machinery & Electronics
基金
国家自然科学基金(5157090314)
海洋工程国家重点实验室(上海交通大学)开放课题(1009)
