两自由度非线性振动系统周期运动及其稳定性研究

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基金项目: 云南省教育厅应用基础研究基金资助课题(0012226)

Research of the Periodic Motion and Stability of Two-Degree-of-Freedom Nonlinear Oscillating Systems

Department of Mathematics, Qujing Normal College, Qujing, Yunnan 655000, P R China

摘要: 运用Liapunov函数方法,对一类两自由度非线性振动系统周期运动及其稳定性进行了研究,得到了存在唯一渐近稳定的周期解的充分条件.
- 非线性振动 /
- 周期运动 /
- Liapunov函数 /
- 周期解
Abstract: The periodic motion and stability for a class of two-degree-of-freedom nonlinear oscilating systems are studied by using the method of Liapunov function. The sufficient conditions which guarantee the existence,uniqueness and asymptotic stability of the periodic solutions are obtained.
- nonlinear oscillation /
- periodic motion /
- Liapunov function /
- periodic system

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