%0 Journal Article
%T EXTENSION OF THE INERTIAL MANIFOLD CONCEPT AS SUGGESTED BY A SPECIAL CASE<br>从具体例子看惯性流形概念的推广
%A Liu Zhenrong
%A <br>刘曾荣
%A 徐振源
%J 力学学报
%D 1992
%I 
%X The concept of inertial manifold5] requires exponential convergence of all trajectories to a unique attractor, which can hardly be satisfied in many physical problems, e.g. the sine-Gordon equation4]. Properties of an artifical example in the paper suggest a generalized form of inertial manifold, which cancels the prerequisite that the global attractor is unique. This generalized concept is used to the sine-Gordon equation.
%K Infinite dimension dynamical systems
%K inertia current manifolds
%K gene ralized manifolds
%K a'ttractors<br>无穷维
%K 动力系统
%K 惯性流形
%K 吸引子
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=45B8F331E8B63EA227ADE4F84D4645EB&yid=F53A2717BDB04D52&vid=B91E8C6D6FE990DB&iid=E158A972A605785F&sid=BEE722AB5028E81F&eid=A48DE16C07AAAB06&journal_id=0459-1879&journal_name=力学学报&referenced_num=4&reference_num=3