摘要
初始时作周期运动的系统被负阻尼作用逐渐托出势能井,其周期运动的经过时间由多重变量展开解得.一强非线性系统的算例表明其结果近似性好且计算简便.
An initially periodic motion is gradually raissd out of the potential well by the effect of negative damping. The elapsed time when the motion ceases to be periodic is obtained by multiple variable expansions. An example of a strictly nonlinear system shows the result has a good approximation and is easy to calculate.
出处
《应用数学和力学》
CSCD
北大核心
1992年第8期693-697,共5页
Applied Mathematics and Mechanics
关键词
奇异摄动
非线性振动
周期运动
singular perturbation, multiple scale,nonlinear oscillators, asymptotic analysis
