Periodic shadowing and \(\Omega \)-stability
From MaRDI portal
Publication:618220
DOI10.1134/S1560354710020255zbMath1203.37039arXiv1010.3686OpenAlexW1583028466MaRDI QIDQ618220
A. V. Osipov, Sergey B. Tikhomirov, Sergei Yu. Pilyugin
Publication date: 14 January 2011
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.3686
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)
Related Items
On Periodic Shadowing Property ⋮ Specification and shadowing properties for non-autonomous systems ⋮ Hölder shadowing on finite intervals ⋮ Theory of pseudo-orbit shadowing in dynamical systems ⋮ On shadowing and chain recurrence in linear dynamics ⋮ Specification and shadowing properties of free semigroup actions ⋮ Weak forms of shadowing in topological dynamics ⋮ Periodic shadowing and standard shadowing property ⋮ ON THE DENSITY OF VARIOUS SHADOWING PROPERTIES ⋮ Lipschitz shadowing and structural stability of flows ⋮ Shadowing is generic -- a continuous map case ⋮ On specification and measure expansiveness ⋮ Sets of invariant measures and Cesaro stability ⋮ Shadowing in linear skew products ⋮ Periodic shadowing in iterated function systems ⋮ Periodic shadowing of vector fields
Cites Work
- Unnamed Item
- Unnamed Item
- Stability theorems and hyperbolicity in dynamical systems
- Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
- Shadowing in dynamical systems
- Orbital and weak shadowing properties
- Pseudo-orbit shadowing in the \(C^1\) topology
- Sets of dynamical systems with various limit shadowing properties
- On genericity of shadowing and periodic shadowing property
- Lipschitz shadowing implies structural stability
- Extended f-orbits are approximated by orbits
- Diffeomorphisms in ℱ1(M) satisfy Axiom A
- The set of axiom A diffeomorphisms with no cycles
- Spaces of dynamical systems
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms