Construction of Optimal Truncated Low-Dimensional Dynamical systems directly from PDEs 1  

Construction of Optimal Truncated Low-Dimensional Dynamical systems directly from PDEs

作　　者：HongliangZHAO ChuijieWu 

机构地区：[1]LNM，InstituteofMechanics,CAS,Beijing,100080 [2]AirForceInstituteofMeteorology,Nanjing,211101

出　　处：《Communications in Nonlinear Science and Numerical Simulation》1998年第1期1-5,共5页非线性科学与数值模拟通讯（英文版）

摘　　要：An Optimal method of constructing low-dimensional dynamical systems directly from PDEs is outlined in this communication.The results show that this new method can catch much more dynamical behavior of nonlinear PDE systems than the usual methods.ＩｎｔｒｏｄｕｃｔｉｏｎＷｈｅｎａｐｐｌｙｉｎｇｔｈｅｍｅｔｈｏｄｓｏｆｄｙｎａｍｉｃａｌｓｙｓｔｅｍｓｔｏｓｔｕｄｙｔｈｅｄｙｎａｍｉｃａｌｂｅｈａｖｉｏｒｏｆｓｏｍｅＰＤＥｓ，ｔｈｅｍｏｓｔｉｍｐｏｒｔａｎｔｓｔｅｐｉｎｔｈｅｐｒｏｃｅｓｅｓｉｓ...

关 键 词：low dimensional dynamical system partial differential equations optimization 

分 类 号：O175.29[理学—数学]