Abstract
Dynamical systems whose trajectories all have the same period are usually called periodic. It seems natural to consider these systems, i.e. the ones with the simplest possible behavior of the trajectories, as an appropriate tool for approximating the systems of general form. In this regard their role is similar to that of polynomials and rational functions in the constructive theory of functions, where the functions of general form are approximated by them.
Sections 1 and 2 were written in collaboration with E. A. Sataev.
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© 1989 Springer-Verlag Berlin Heidelberg
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Cornfeld, I.P., Vershik, A.M. (1989). Periodic Approximations and Their Applications. Ergodic Theorems, Spectral and Entropy Theory for the General Group Actions. In: Sinai, Y.G. (eds) Dynamical Systems II. Encyclopaedia of Mathematical Sciences, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06788-8_4
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DOI: https://doi.org/10.1007/978-3-662-06788-8_4
Publisher Name: Springer, Berlin, Heidelberg
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