Symbolic computation in studying stability of solutions of linear differential equations with periodic coefficients

被引：6

作者：

Prokopenya, A. N. ^{[1
]}

机构：

[1] Brest State Tech Univ, Brest 224017, BELARUS

来源：

PROGRAMMING AND COMPUTER SOFTWARE | 2007年 / 33卷 / 02期

关键词：

Linear Differential Equation; Symbolic Computation; Instability Region; Characteristic Exponent; Resonance Curve;

D O I：

10.1134/S0361768807020028

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

An algorithm for symbolic computation of characteristic exponents of a linear system of differential equations with a periodic matrix represented by a power series in terms of a small parameter is discussed. The algorithm is based on the infinite determinant method. The corresponding procedures implemented in the Mathematica system and computation results related to the elliptic restricted four-body problem are presented.

引用

页码：60 / 66

页数：7

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