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Monodromy matrix

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A constant $(n\times n)$-matrix $X(\omega)$ which is the value at $t=\omega$ of the fundamental matrix $X(t)$, normalized at zero, of a linear system of differential equations

$$\dot x=A(t)x,\quad t\in\mathbf R,\quad x\in\mathbf R^n,$$

with an $\omega$-periodic matrix $A(t)$ that is summable on each compact interval in $\mathbf R$.


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References

[a1] J.K. Hale, "Ordinary differential equations" , Wiley (1969)
How to Cite This Entry:
Monodromy matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Monodromy_matrix&oldid=32876
This article was adapted from an original article by Yu.V. Komlenko (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article