Metric Entropy of Nonautonomous Dynamical Systems
By C. Kawan. 2013
66 citations recorded by the source corpus.
Abstract We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence (Xn; μn) of probability spaces and a sequence of measurable maps fn : Xn → Xn+1 with fnμn = μn+1. This notion generalizes the classical concept of metric entropy established by Kolmogorov and Sinai, and is related via a variational inequality to the topological entropy of nonautonomous systems as defined by Kolyada, Misiurewicz, and Snoha. Moreover, it shares several properties with the classical notion of metric entropy. In particular, invariance with respect to appropriately defined isomorphisms, a power rule, and a Rokhlin-type inequality are proved
Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/72472262a8d4368abd664baf1195a2e829aeee4c
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In Mathematical Physics
Citations in the corpus
- Topological entropy of nonautonomous dynamical systems (2019, background): “u and Zhou [18] introduced the measure-theoretical entropy in nonautonomous case and established a variational principle for the first time. More results related to entropy for NADSs were developed in [2, 5, 10, 11, 13, 19, 20]. In contrast to the classical dynamical systems whose dynamics have been ”