Weak forms of shadowing in topological dynamics
DOI10.12775/TMNA.2017.020zbMath1407.37008OpenAlexW2741989445MaRDI QIDQ1705677
Sergey Kryzhevich, Danila Cherkashin
Publication date: 16 March 2018
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.12775/tmna.2017.020
topological dynamicsinvariant measureminimal pointsshadowingchain recurrencee-networkssyndetic sets.
Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
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Cites Work
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- Shadowing, entropy and minimal subsystems
- Graph theoretic structure of maps of the Cantor space
- Shadowing is generic -- a continuous map case
- Periodic shadowing and \(\Omega \)-stability
- Lipschitz shadowing and structural stability of flows
- Implications of pseudo-orbit tracing property for continuous maps on compacta
- Shadowing with chain transitivity
- On shadowing: ordinary and ergodic
- Sub-shadowings
- Vibro-impact dynamics. Modeling, mapping and applications
- Subadditive ergodic theory
- Stability theorems and hyperbolicity in dynamical systems
- The space of dynamical systems with the \(C^ 0\)-topology
- Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
- Various shadowing properties for positively expansive maps
- Classifying dynamical systems by their recurrence properties
- Shadowing in dynamical systems
- Shadowing is generic
- s-limit shadowing is \(\mathcal C^0\)-dense
- Piecewise-smooth dynamical systems. Theory and applications
- \(C^{0}\) transversality and shadowing properties
- Topological dynamical systems. An introduction to the dynamics of continuous mappings
- Shadowing along subsequences for continuous mappings
- Lipschitz shadowing implies structural stability
- Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
- Extended f-orbits are approximated by orbits
- Chaos in a Forced Dry-Friction Oscillator: Experiments and Numerical Modelling
- Sensitive dependence on initial conditions
- Pas de “Shadowing lemma” pour les dynamiques partiellement hyperboliques
- The structure of pointwise recurrent maps having the pseudo orbit tracing property
- An open set of maps for which every point is absolutely nonshadowable
- Differentiable dynamical systems
- Recurrence and genericity
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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