THE SHORTEST UNIVERSAL SOLUTIONS FOR NON-LINEAR DYNAMIC EQUATION

摘要：

To study on the non-linear dynamic equation (dx(t)/dt )=F(x(t),t) , the concept of “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.

关键词： time-status space non-linear dynamic equation series solution

作者: Shaozhong Cao Yang Li

作者单位: School of Information and Mechanical Engineering ,Beijing Institute of Graphic Communication, Beijing, China

会议类型: 国际会议

会议名称: 2011 IEEE International Conference on Cloud Computing and Intelligence Systems(2011年第一届IEEE云计算与智能系统国际会议 IEEE CCIS2011)

会议地点: 北京

会议语种:英文

页码: 541-544

在线出版日期: 2011-09-15（万方平台首次上网日期，不代表论文的发表时间）