RIGOROUS VERIFICATION OF TRAJECTORIES FOR THE COMPUTER-SIMULATION OF DYNAMIC-SYSTEMS

被引：79

作者：

SAUER, T ^{[1
]}

YORKE, JA ^{[1
]}

机构：

[1] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742

来源：

NONLINEARITY | 1991年 / 4卷 / 03期

关键词：

D O I：

10.1088/0951-7715/4/3/018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new technique for constructing a computer-assisted proof of the reliability of a long computer-generated trajectory of a dynamical system. Auxiliary calculations made along the noise-corrupted computer trajectory determine whether there exists a true trajectory which follows the computed trajectory closely for long times. A major application is to verify trajectories of chaotic differential equations and discrete systems. We apply the main results to computer simulations of the Henon map and the forced damped pendulum.

引用

页码：961 / 979

页数：19