This paper studies the dynamics and integrability of two generalisations of a 3D Swinging Atwood’s Machine (SAM) with additional Coulomb’s interactions and Hooke’s law of elasticity. The complexity of
Rotating waves (RW) bifurcating from the axisymmetric basic magnetized spherical Couette (MSC) flow are computed by means of Newton–Krylov continuation techniques for periodic orbits. In addition, the
