How Floquet Theory Applies to Index 1 Differential Algebraic Equations

How Floquet Theory Applies to Index 1 Differential Algebraic Equations
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Floquet 理论如何应用于索引 1 微分代数方程

DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
R. Winkler
R. Winkler
中科院分区：
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文献类型：
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作者：
R. Lamour;R. März;R. Winkler

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周期解的局部稳定性是通过索引 1 微分代数方程的 Floquet 理论建立的。详细考虑具有周期系数的线性微分代数方程，并获得单性矩阵的自然概念，该概念推广了众所周知的正则常微分方程理论。
Local stability of periodic solutions is established by means of a Floquet theory for index-1 differential algebraic equations. Linear differential algebraic equations with periodic coefficients are considered in detail, and a natural notion of the monodromy matrix is obtained that generalizes the well-known theory for regular ordinary differential equations.