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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© 1987 Springer-Verlag
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Romeiras, F.J. (1987). Quasi-periodic Schrödinger equations and strange nonchaotic attractors of pendula and Josephson junctions. In: Kim, Y.S., Zachary, W.W. (eds) The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function. Lecture Notes in Physics, vol 278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17894-5_312
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DOI: https://doi.org/10.1007/3-540-17894-5_312
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