Kolmogorov–Sinai entropy from the ordinal viewpoint
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چکیده
منابع مشابه
Kolmogorov-Sinai entropy from the ordinal viewpoint
In the case of ergodicity much of the structure of a one-dimensional time-discrete dynamical system is already determined by its ordinal structure. We generally discuss this phenomenon by considering the distribution of ordinal patterns, which describe the up and down in the orbits of a Borel measurable map on a subset of the real numbers. In particular, we give a natural ordinal description of...
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In the case of ergodicity much of the structure of a one-dimensional time-discrete dynamical system is already determined by its ordinal structure. In order to explain this phenomenon more precisely, we show that ordinal patterns, which describe the up and down in the orbits of an ergodic Borel measurable map on a subset of the real numbers, are in a certain sense generating. On this base we gi...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2010
ISSN: 0167-2789
DOI: 10.1016/j.physd.2010.02.006