Asymptotic expansions and attractive invariant manifolds of strongly damped mechanical systems
Asymptotic expansions and attractive invariant manifolds of strongly damped mechanical systems
复制标题
强阻尼机械系统的渐近展开式和有吸引力的不变流形
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
T. Stumpp
中科院分区：
文献类型：
--
作者：
T. Stumpp
研究了一类强阻尼力学系统的解析性质，该类系统的运动方程构成一个奇异摄动系统。我们证明了慢解可以用阻尼参数倒数幂的渐近展开式来表示。进一步证明了强阻尼迫使运动以指数速率进入不变流形。
We study analytical properties of strongly damped mechanical systems, for which the equations of motion form a singular singularly perturbed system. We show that slow solutions can be represented by an asymptotic expansion in powers of the reciprocal of the damping parameter. Further it is shown that the strong damping forces the motion to run into an invariant manifold at an exponential rate.