Dynamical invariants for time-dependent (TD) oscillator systems in two dimensions are derived. The applications of the dynamical algebraic approach known already for one-dimensional TD systems [R. S. Kaushal and H. J. Korsch, J. Math. Phys. 22, 1904 (1981)] are now carried out to two-dimensional TD systems. A possible generalization of Ermakov systems to higher dimensions is discussed.
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