Abstract
Diffeomorphisms and flows on tori are of particular importance from various points of view. It might at first seem that this is a very special class of dynamical systems. However, this is not so: many important dynamical systems turn out to be nonergodic and their phase spaces split into invariant tori (see §3, Chap. 2).
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© 1982 Springer-Verlag New York Inc.
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Cornfeld, I.P., Fomin, S.V., Sinai, Y.G. (1982). Smooth Dynamical Systems on the Torus. In: Ergodic Theory. Grundlehren der mathematischen Wissenschaften, vol 245. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-6927-5_3
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DOI: https://doi.org/10.1007/978-1-4615-6927-5_3
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