计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (30): 32-34.

• 研究、探讨 • 上一篇    下一篇

一般Brusselator系统解的稳定性和存在性分析

王艳娥1,2,吴建华1   

  1. 1.陕西师范大学 数学与信息科学学院,西安 710062
    2.陕西师范大学 计算机科学学院,西安 710062
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-10-21 发布日期:2011-10-21

Analysis on stability and existence of solution for general Brusselator system

WANG Yan’e1,2,WU Jianhua1   

  1. 1.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
    2.College of Computer Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-10-21 Published:2011-10-21

摘要: 研究了一般Brusselator系统在Neumann边界条件下解的性质。利用稳定性理论讨论了其常数解的稳定性。以u的扩散系数θ为分歧参数,利用分歧理论分析了由常数解产生的局部和全局分歧情况,给出了局部分歧解存在的充分条件以及分歧解的全局走向。

关键词: Brusselator模型, 稳定性, 分歧

Abstract: A general Brusselator system with Neumann boundary condition is considered.By the means of the stability theorem,the stability of constant solution of the model is discussed.Taking the diffusion coefficient [θ] of [u] as the parameter,the local and global bifurcation from the unique constant solution are studied by the theorems of bifurcation.The sufficient conditions for existence of bifurcating solutions of the system and its trend are obtained.

Key words: brusselator model, stability, bifurcation