3 problems

Let $P(t)$ be a periodic orbit in the Lorenz-96 model of dimension $n$, and let $l$ be its spatial wave number. Write $g=\gcd(l,n)$ and let $G_n$ denote the cyclic spatial symmetry…

Let $n=2^q p$, where $q\in\mathbb{N}\cup\\{0\\}$ and $p$ is odd. A subsequent pitchfork bifurcation is a pitchfork bifurcation occurring after the preceding pitchfork bifurcations…

Let $M=40$ denote the case in which the observation operator observes 40 directions, and let $M=60$ denote the case in which all directions are observed. The root mean square error…