Theoretical Mathematics & Applications

A Note on Variational Principle of Subsets for Nonautonomous Dynamical Systems

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• Abstract

  In this paper, we introduce measure-theoretic for Borel probability measures to characterize upper and lower Katok measure-theoretic entropies in discrete type and the measure-theoretic entropy for arbitrary Borel probability measure in nonautonomous case. Then we establish new variational principles for Bowen topological entropy for nonautonomous dynamical systems.

  JEL classification numbers: 37A35.

  Keywords: Nonautonomous, Measure-theoretical entropies, Variational principles.