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The authors extend the semiclassical theory of spectral fluctuations to include composite systems. These systems are characterized by some number of weakly communicating, highly chaotic subsystems. They contain new and longer time scales, depending on the connecting fluxes, in addition to those associated with the rapid internal mixings. The new time scales produce discernible modifications in the nature of the level fluctuations of the corresponding quantum systems. The theory is applied to two coupled quartic oscillators.
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Smilansky et al. (1992) studied this question.
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