ODE systems for computing the guiding term

The guiding term can be computed in a variety of ways. Here, we provide four distinct methods—corresponding to three systems of ODEs and a direct method via evaluations of matrix exponentials—for achieving this feat.

Exact equations

System of ODEs for $H$, $F$ and $c$

System of ODEs for $M$, $L$ and $μ$

System of ODEs for $P$, $\nu$ and $c$