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We study classical and quantum mechanics of a rotor in the presence of two interacting nonlinear resonances. Quasienergy states and quasienergies are computed. The widths of the quasienergy states in the representation of the unperturbed angular-momentum levels are found to be closely associated with the classical dynamics. The widths of many resonant quasienergy states are found to be extended by the quantum-resonance overlap when the perturbation is increased. Spectral repulsion is present in these extended states.
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Lin et al. (1989) studied this question.
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