摘要
讨论了具有时滞的复金兹堡-朗道方程的渐进性态.当参数满足一定的条件时,得到了复金兹堡-朗道方程具有第一边界条件时零解的线性和非线性稳定性及不稳定性;当参数和时滞满足一定的条件时,得到了复金兹堡-朗道方程具有第二边界条件时常数平衡解的线性化方程的渐进性态.
The asymptotic behavior for Complex Ginzburg-Landau equation with delay is discussed. Linearized and nonlinear stability of zero for Complex Ginzburg-Landau equation with first boundary condition under some conditions on the parameters are obtained ; also asymptotic behavior of constant solutions for Complex Ginzburg-Landau equation with second boundary condition under some conditions on the parameters and delay are obtained.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
北大核心
2008年第4期14-20,共7页
Journal of Nanjing Normal University(Natural Science Edition)
基金
国家自然科学基金(10571087)
教育部博士点专项基金(200503129001)
江苏省自然科学基金(BK2006523)
南京师范大学青年教师奖奖励计划资助项目
关键词
复金兹堡-朗道方程
延迟
稳定性
渐近性态
Complex Ginzburg-Landau equation, delay, stability, asymptotic behavior
