摘要
对一类反应扩散方程进行Hopf分岔研究,得到了极限环产生的条件,并且运用中心流形理论分析了极限环的稳定性.
The existence of periodic solutions of a reaction diffusion model is investigated, associated with autocatalysis and saturation law, subjected to Neumann boundary condition. At the same time, the bifurcation direction and the stability of spatially homogeneous periodic solution are obtained.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2016年第2期84-87,共4页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
Supported by the grant of NSFC(11071185
11471240)
关键词
HOPF分岔
周期解
稳定性
Hopf bifurcation
periodic solutions
stability
