Lienard系统的某些性质

基金项目: 国家自然科学基金重点项目(19531070);上海市曙光计划项目(1998)

On Some Properties of Lienard Systems

Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China

摘要: 给出了广义Lienard系统有与垂直等倾线不交的正、负半轨的精细条件,并对多项式系统给出了应用例子.
- Lienard系统 /
- 局部性质 /
- 全局性质
Abstract: Some sharp sufficient conditions for generalized Lienard systems to have positive or negative semi-orbits which do not cross the vertical isocline are given. Applications of the main results to some polynomial systems are also presented.
- Lienard system /
- local property /
- global property

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