应用数学和力学2011，Vol.32Issue(9)：1100-1109,10.DOI:10.3879/j.issn.1000-0887.2011.09.009
具有扩散的广义Brusselator系统的Hopf分歧
Hopf Bifurcation in the General Brusselator System With Diffusion
摘要
Abstract
The general Brusselator system was considered under homogeneous Neumann boundary conditions. The existence results of Hopf bifurcation to the ODE and PDE models were obtained. By the center manifold theory and the normal form method, the bifurcation direction and stability of periodic solutions were also established. Moreover, some numerical simulations were shown to support the analytical results. At the same time, the figures of positive steady-state solutions and spatially inhomogeneous periodic solutions were drawn, which supplement the analytical results.关键词
广义Brusselator系统/Hopf分歧/扩散/稳定性Key words
general Brusselator system/Hopf bifurcation/diffusion/stability general Brusselator system/Hopf bifurcation/diffusion/stability分类
数理科学引用本文复制引用
郭改慧,吴建华,任小红,于鹏..具有扩散的广义Brusselator系统的Hopf分歧[J].应用数学和力学,2011,32(9):1100-1109,10.基金项目
国家自然科学基金资助项目(10971124 （）
11001160) （）
陕西省自然科学基础研究计划资助项目(2009JQ1007 （）
2011JQ1015) （）
本文得到陕西科技大学博士科研启动基金项目(BJ1O-17)的资助 （BJ1O-17）
