具有拟周期外力的非自治发展方程的时滞惯性流形与近似惯性流形  

Inertial Manifolds with Delays and Approximate Inertial Manifolds of a Class of Non-autonomous Evolution Equations with Quasi-periodic Terms

作　　者：朱健民[1] 李祥[1] 黄建华[1] 

机构地区：[1]国防科技大学理学院,湖南长沙410073

出　　处：《国防科技大学学报》2006年第6期32-37,共6页Journal of National University of Defense Technology

基　　金：国家自然科学基金资助项目(10571175)

摘　　要：研究了一类具有拟周期外力的非自治发展方程,通过延伸相平面将非自治系统转化为自治系统,再证明相应的自治系统的时滞惯性流形的存在性,并在时滞惯性流形的基础上构造了非自治发展方程的近似惯性流形。The present paper deals with the long-time behavior of a non-autonomous evolution equations with quasi-periodic term.Firstly the existence of the inertial manifold with delay of the system was proved by transferring the non-autonomous system to an autonomous system through extending the phase plane.Then the approximate inertial manifold of the system was constructed.

关 键 词：拟周期外力 时滞惯性流形 近似惯性流形 

分 类 号：O175[理学—数学]