Variational principles for entropies of nonautonomous dynamical systems

DOI10.1007/s10884-017-9586-2zbMath1401.37011OpenAlexW2601108499MaRDI QIDQ1994002

Xiaomin Zhou, Leiye Xu

Publication date: 6 November 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-017-9586-2

zbMATH Keywords

variational principlesnonautonomous systemmeasure-theoretical entropies

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Symbolic dynamics (37B10)

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Generalizations of expansiveness in non-autonomous discrete systems ⋮ Variational principles for topological pressures on subsets ⋮ The variational principle for the packing entropy of nonautonomous dynamical systems ⋮ Variational principle for BS-dimension of subsets of finitely generated free semigroup actions ⋮ Topological entropy of nonautonomous dynamical systems on uniform spaces ⋮ Topological pressure of a factor map for nonautonomous dynamical systems ⋮ On various entropies of set-valued maps ⋮ Pesin topological entropy of nonautonomous dynamical systems ⋮ Topological entropy of nonautonomous dynamical systems ⋮ Polynomial entropy of nonautonomous dynamical systems for noncompact sets ⋮ A comparison of topological entropies for nonautonomous dynamical systems ⋮ A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems

Cites Work

• Lower bounds of the topological entropy for nonautonomous dynamical systems
• Topological and measure-theoretical entropies of nonautonomous dynamical systems
• Variational principles for topological entropies of subsets
• ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS
• Topological Entropy for Noncompact Sets
• Topological Entropy
• Topological Entropy Bounds Measure-Theoretic Entropy
• Relating Topological Entropy and Measure Entropy
• Metric entropy of nonautonomous dynamical systems
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