Novel behavior of the one-dimensional incommensurate Schr\"odinger equation when the potential is derived from a Kolmogorov-Arnol'd-Moser torus is found by exploitation of univeral scaling properties. Our numerical investigation reveals in particular that nearly torus-breaking electronic states undergo series of back-and-forth localization transitions in sensitive dependence on the potential strength.
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Schellnhuber et al. (1985) studied this question.
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