THE SHORTEST UNIVERSAL SOLUTIONS FOR NON-LINEAR DYNAMIC EQUATION

被引：0
|
作者：
Cao, Shaozhong [1 ]
Li, Yang [1 ]
机构：
[1] Beijing Inst Graph Commun, Sch Informat & Mech Engn, Beijing, Peoples R China
来源：
2011 IEEE INTERNATIONAL CONFERENCE ON CLOUD COMPUTING AND INTELLIGENCE SYSTEMS | 2011年
基金：
北京市自然科学基金;
关键词：
time-status space; non-linear dynamic equation; series solution;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
To study on the non-linear dynamic equation dx(t)/dt = F (x(t),t), the concept of dt '' time-state space '' (t, x(t)). is. introduced to obtain the shortest universal analytic solutions at any order series. F (x(t),t) can be expanded as Taylor series on independent variable t at the point of (t =0, x(0)) in the time-status space. And then, the shortest universal analytic solutions at any order series can be obtained by integrating, and the convergence can also be proven.
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页码：541 / 544
页数：4
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