Volume 37_1-2_(2016)_1-42

On the stability and integration of Hamilton-Poisson systems on so(3)*_
ROSS MONTAGUE ADAMS - RORY BIGGS - WILLIAM HOLDERBAUM - CLAUDIU REMSING

Abstract. We consider inhomogeneous quadratic Hamilton-Poisson systems on the Lie-Poisson space so (3)*_. There are nine such systems up to affine equivalence. We investigate the stability nature of the equilibria for each of these systems. For a subclass of systems, we find explicit expressions for the integral curves in terms of Jacobi elliptic functions.

Rend. Mat. Appl. (7) 37 (2016) 1-42;  pdf