Time-dependent first integrals, nonlinear dynamical systems, and numerical integration

被引：0

作者：

Steeb, WH ^{[1
]}

Scholes, T ^{[1
]}

Hardy, Y ^{[1
]}

机构：

[1] Rand Afrikaans Univ, Int Sch Sci Comp, ZA-2006 Auckland Pk, South Africa

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2005年 / 44卷 / 09期

关键词：

dynamical systems; first integrals; numerical integration;

D O I：

10.1007/s10773-005-4833-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Many nonlinear dynamical systems expressed as autonomous systems of first-order ordinary differential equations admit first integrals and explicitly time-dependent first integrals. Under numerical integration these first integrals should be preserved. We discuss this case for explicitly time-dependent first integrals.

引用

页码：1617 / 1620

页数：4

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