Shadowing, topological entropy and recurrence of induced Morse-Smale diffeomorphism

DOI10.1007/s00209-023-03224-7OpenAlexW4321351866MaRDI QIDQ2689263

Yanyan Li

Publication date: 9 March 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.13356

zbMATH Keywords

hyperspacetopological entropyshadowingMorse Smale

Mathematics Subject Classification ID

Topological dynamics (37Bxx) Connections of general topology with other structures, applications (54Hxx) Dynamical systems with hyperbolic behavior (37Dxx)

Related Items (1)

Polynomial entropy of induced maps of circle and interval homeomorphisms

Cites Work

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• Monotone maps on dendrites and their induced maps
• Topological entropy for set valued maps
• The transitivity of induced maps
• A remark on the topological entropy of homeomorphisms
• Topological dynamics of transformations induced on the space of probability measures
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Stability theorems and hyperbolicity in dynamical systems
• Shadowing in structurally stable flows
• On chaotic set-valued discrete dynamical systems
• Shadowing in dynamical systems
• On the Morse-Smale diffeomorphisms with four periodic points on closed orientable manifolds.
• Morse-Smale diffeomorphisms with three fixed points
• Robinson's chaos in set-valued discrete systems
• Set-valued discrete chaos
• Topological entropy and chaos for maps induced on hyperspaces
• Shadowing for induced maps of hyperspaces
• Hyperspace Dynamics of Generic Maps of the Cantor Space
• Three-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curves.

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