Diffeomorphisms with the \(\mathcal{M} _0\)-shadowing property
From MaRDI portal
Publication:2011162
DOI10.1007/s10114-019-8510-6zbMath1436.37034OpenAlexW2980466248MaRDI QIDQ2011162
Publication date: 28 November 2019
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-019-8510-6
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)
Related Items (5)
Volume-preserving diffeomorphisms with the \(\mathcal{M}_0\)-shadowing properties ⋮ Topological chain and shadowing properties of dynamical systems on uniform spaces ⋮ Average Shadowing Property and Asymptotic Average Shadowing Property of Linear Dynamical Systems ⋮ Relationship among several types of sensitivity in general semi-flows ⋮ Recurrent sets and shadowing for finitely generated semigroup actions on metric spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic average shadowing property on compact metric spaces
- Sub-shadowings
- \(\omega\)-limit sets for axiom A diffeomorphisms
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
- An ergodic closing lemma
- Diffeomorphisms with \(C^1\)-stably average shadowing
- On averaged tracing of periodic average pseudo orbits
- Shadowing and hyperbolicity
- Stably asymptotic average shadowing property and dominated splitting
- Numerical orbits of chaotic processes represent true orbits
- On various definitions of shadowing with average error in tracing
- Perturbations of the derivative along periodic orbits
- A Shadowing Lemma with Applications to Semilinear Parabolic Equations
- Diffeomorphisms in ℱ1(M) satisfy Axiom A
- Various Shadowing in Linear Dynamical Systems
- Topological Ergodic Shadowing and Chaos on Uniform Spaces
- An Improved Closing Lemma and a General Density Theorem
- Necessary Conditions for Stability of Diffeomorphisms
- GIBBS MEASURES IN ERGODIC THEORY
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Diffeomorphisms with the average-shadowing property on two-dimensional closed manifolds
This page was built for publication: Diffeomorphisms with the \(\mathcal{M} _0\)-shadowing property