Monodromy matrix of a periodic linear system
= Monodromy matrix of a periodic linear system
{title2=$N=X(P)X(0)^{-1}$}
For $\dot Y=K(t)Y$ with coefficient period $P$, the monodromy matrix maps $Y(0)$ to $Y(P)$. Its <eigenvalues> are the <Floquet multipliers>. For piecewise constant coefficients it is the time-ordered product of the segment <matrix exponentials>, with the earliest segment on the right. Its determinant is $\exp(\int_0^P\operatorname{tr}K(t)\,dt)$.