Topological stability in set-valued dynamics

DOI10.3934/dcdsb.2017115zbMath1367.54022OpenAlexW2600779251MaRDI QIDQ520949

Phillipe Thieullen, Carlos Arnoldo Morales Rojas, Roger J. Metzger

Publication date: 6 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017115

zbMATH Keywords

topological stabilityset-valued mapupper semicontinuous positively expansive map

Mathematics Subject Classification ID

Related Items (12)

Chaos for multivalued maps and induced hyperspace maps ⋮ Topologically transitive and mixing properties of set-valued dynamical systems ⋮ Transitive points in CR-dynamical systems ⋮ Topological dynamics of Markov multi-maps of the interval ⋮ Some Properties on Sensitivity, Transitivity and Mixing of Set-Valued Dynamical Systems ⋮ Unnamed Item ⋮ Topological stability and shadowing of zero-dimensional dynamical systems ⋮ Topological stability from Gromov-Hausdorff viewpoint ⋮ Metric entropy for set-valued maps ⋮ Finite-expansivity and \(N\)-shadowing ⋮ Topological stability for flows from a Gromov-Hausdorff viewpoint ⋮ Topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Topological entropy for set-valued maps
• Shadowing and inverse shadowing in set-valued dynamical systems. Contractive case
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Shadowing in dynamical systems
• Anosov diffeomorphisms are topologically stable
• Continuum-wise expansiveness and specification for set-valued functions and topological entropy
• The specification property on a set-valued map and its inverse limit
• Topological entropy on set-valued functions
• A Note on Expansive Mappings
• Expansive transformation semigroups of endomorphisms
• Unstable Homeomorphisms

This page was built for publication: Topological stability in set-valued dynamics