Monodromy matrix

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 $\mathbf R$.

References

[a1]	J.K. Hale, "Ordinary differential equations" , Wiley (1969)