= Floquet exponent
{c}
{title2=$e^{T\rho}=m$}
For a <Floquet multiplier> $m\ne0$ of a period-$T$ linear variational equation, a Floquet exponent is any logarithmic rate $\rho$ satisfying the displayed relation. Its real part is uniquely $T^{-1}\log|m|$, while its imaginary part is defined modulo $2\pi/T$. Negative transverse real parts give local attraction to a <periodic orbit>; the autonomous phase direction has multiplier one and exponent zero. Constant-coefficient amplitude equations supply exponents directly as the <eigenvalues> of their <Jacobian matrix>.
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