A model problem with the coexistence of stochastic and integrable behaviour |
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| Authors: | Maciej Wojtkowski |
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| Affiliation: | (1) Institute of Mathematics, Warsaw University, PL-00-901 Warszawa, PKiNIX p., Poland |
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| Abstract: | A one parameter family of piecewise linear measure preserving transformations of a torus which can be viewed as a perturbation of the twist mapping is introduced. Theorems on their ergodic properties for an infinite set of parameters are proved. For some parameters coexistence of stochastic and integrable behaviour is obtained. |
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