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

被引：0
作者：
A. N. Prokopenya
机构：
[1] Brest State Technical University,
来源：
Programming and Computer Software | 2007年 / 33卷
关键词：
Linear Differential Equation; Symbolic Computation; Instability Region; Characteristic Exponent; Resonance Curve;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：60 / 66
页数：6
相关论文
共 3 条
[1]  
Prokopenya A.N.(2005)Determination of the Stability Boundaries for the Hamiltonian Systems with Periodic Coefficients Math. Modelling Analysis 10 191-204
[2]  
Grebenikov E.A.(2003)Studying Stability of the Equilibrium Solutions in the Restricted Newton’s Problem of Four Bodies Buletinul Academiei de Stiinte a Republicii Moldova, Mathematica 42 28-36
[3]  
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