Topological Stability and Entropy for Certain Set-valued Maps

DOI10.1007/S10114-023-1643-7MaRDI QIDQ6492018

Unnamed Author, Yu Jun Zhu

Publication date: 24 April 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological stability in set-valued dynamics
• Smooth ergodic theory for endomorphisms
• Shadowing and inverse shadowing in set-valued dynamical systems. Contractive case
• Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case
• Shadowing in dynamical systems
• Smooth ergodic theory of random dynamical systems
• Frobenius-Perron operators and approximation of invariant measures for set-valued dynamical systems
• Local entropy via preimage structure
• Entropy via preimage structure
• Shadowing and inverse shadowing for \(C^1\) endomorphisms
• Entropy formula for random ℤ^{𝕜}-actions
• Some ergodic properties of commuting diffeomorphisms
• Poincaré's recurrence theorem for set-valued dynamical systems
• Invariant Measures for Set-Valued Dynamical Systems
• Algebraic $\mathbb {Z}^d$-actions of entropy rank one
• Entropy and preimage sets
• Dynamical properties of shift maps on inverse limits with a set valued function
• On topological entropy of maps
• On preimage entropy, folding entropy and stable entropy
• Topological entropy of Markov set-valued functions
• Topological entropy on set-valued functions
• PREIMAGE ENTROPY FOR MAPPINGS
• Pre-image entropy
• Set-valued analysis
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

This page was built for publication: Topological Stability and Entropy for Certain Set-valued Maps