Global analytic integrability of the Rabinovich system
The authors consider the Rabinovich differential system \[ \dot{x}=hy-v_1x+yz,\quad \dot{y}=hx-v_2y-xz,\quad \dot{z}=-v_3z+xy \tag{1} \] with \(h, v_1, v_2, v_3\) being real parameters. Sufficient conditions for the existence and nonexistence of a global analytic first integral of (1) are given.
scientific article; zbMATH DE number 5380139