一个数学模型的全局稳定性讨论  

Global Stability of A Nonlinear Differential Equations Model

作　　者：李林[1] 

机构地区：[1]北京石油化工学院数理部,北京102617

出　　处：《北京石油化工学院学报》2003年第1期1-4,共4页Journal of Beijing Institute of Petrochemical Technology

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。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：数学模型 全局稳定性 极限环 轨线 奇点指数 非线性微分方程组 

分 类 号：O175.13[理学—数学]