Abstract

We discuss the existence and properties of strange nonchaotic attractors of differential equations forced at two incommensurate frequencies. One of the two equations we consider can be related to the Schrüdinger equation; the other is the well-known model of the driven damped pendulum and of the current-driven resistively shunted Josephson junction. In particular, we show that these attractors are typical in the sense that they exist on a set of positive Lebesgue measure in parameter space, and also that they exhibit distinctive frequency spectra. These properties should make them experimentally observable.

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