This paper reports the first Helmholtz generalizations of the Manakov equation and its soliton solutions, along with a thorough investigation of the dynamical properties of the new solutions. Well-tested numerical perturbative techniques are employed to demonstrate the role of Helmholtz-Manakov solitons as robust attractors (in a nonlinear dynamical sense). Rich dynamical behaviour are also summarised, including evolution characteristics associated with both fixed-point and limit-cycle attractors