The complete integrability of a Lie-Poisson system proposed by Bloch and Iserles

Carlos Tomei, Luen-Chau Li

We establish the Liouville integrability of the differential equation $\dot{S}(t)=[N,S^2(t)],$ recently considered by Bloch and Iserles. Here, $N$ is a real, fixed, skew-symmetric…