2018年信息与数学学院学术报告(十二)

 

讲座题目: Stability and bifurcation analysis in a diffusive Brusselator-type system

主办单位:信息与数学学院

报告专家:王其如中山大学 教授 博导)

报告时间:201872(周一)下午15:00-1630

报告地点:数学学院8406

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专家简介:王其如,中山大学数学学院教授、博士研究生导师,逸仙学院副院长,复杂系统研究中心主任,广东省数学会秘书长,中国数学会数学传播工作委员会委员,广东省工业与应用数学学会常务副理事长,德国《数学文摘》和美国《数学评论》评论员。

摘要:In this talk, dynamics properties for a Brusselator-type system with diffusion are investigated. By employing the theory of Hopf bifurcation for ordinary and partial differential equations, we mainly obtain some conditions of the stability and Hopf bifurcation for the ODE system, diffusion-driven instability of the equilibrium solution, and the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions for the PDE system. Finally, some numerical simulations are presented to verify our results.