A note on the shadowing lemma of Liao: a generalized and improved version
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Publication:625598
DOI10.2748/tmj/1294170344zbMath1225.37030OpenAlexW2010303669WikidataQ124807245 ScholiaQ124807245MaRDI QIDQ625598
Publication date: 23 February 2011
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1294170344
Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Partially hyperbolic systems and dominated splittings (37D30)
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Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations ⋮ On \(\mathrm{C}^1\)-class local diffeomorphisms whose periodic points are nonuniformly expanding
Cites Work
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- A proof of the \(C^ 1\) stability conjecture
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- A generalized shadowing lemma
- On the approximation of Lyapunov exponents and a question suggested by Anatole Katok
- Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
- Standard Systems of Discrete Differentiable Dynamical Systems
- Hyperbolic Limit Sets
- Partial linearization of differentiable systems
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