节点文献
一个数学模型的全局稳定性讨论
Global Stability of A Nonlinear Differential Equations Model
【摘要】 研究了一个由非线性微分方程组所描述的数学模型。通过利用Poincare Bendixsion环域原理、比较原理和奇点指数的有关结论 ,证明了这个数学模型是全局稳定的。改进并纠正了关于这个模型已有的结论
【Abstract】 In this paper, the mathematical model governed by nonlinear differential equations is investigated. By using the Poincare-Bendixsion theorem, comparing theorem on differential equations and some results on index of critical points, the global stability of a nonlinear differential equations model is proved. The existing conclusions on this model are improved.
【关键词】 全局稳定性;
极限环;
轨线;
奇点指数;
【Key words】 global stability; limit cycle; trajectory; index of a critical point;
【Key words】 global stability; limit cycle; trajectory; index of a critical point;
- 【文献出处】 北京石油化工学院学报 ,Journal of Beijing Institufe of Petrochemical Technology , 编辑部邮箱 ,2003年01期
- 【分类号】O29
- 【下载频次】118