Stability of orbit spaces of endomorphisms

DOI10.1007/BF02677460zbMath0885.58063MaRDI QIDQ1360918

Pei-Dong Liu

Publication date: 23 July 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156288

zbMATH Keywords

stability theorems\(C^ 1\) endomorphismshyperbolic sets of diffeomorphisms

Mathematics Subject Classification ID

Ergodic theory (37A99) Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99)

Related Items (4)

On robustness of orbit spaces for partially hyperbolic endomorphisms ⋮ Random \(C^{0}\) homeomorphism perturbations of hyperbolic sets ⋮ Robustly non-hyperbolic transitive endomorphisms on 𝕋² ⋮ Horseshoes for \(\mathcal{C}^{1+\alpha}\) mappings with hyperbolic measures

Cites Work

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• On the \(C^ 1\Omega\)-stability conjecture
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• The space of dynamical systems with the \(C^ 0\)-topology
• Smooth ergodic theory of random dynamical systems
• Neighborhoods of hyperbolic sets
• On semi-stability for diffeomorphisms
• On Ω-stability and structural stability of endomorphisms satisfying Axiom A
• Anosov endomorphisms
• Periodic points and chaotic functions in the unit interval
• Ergodic theory for axiom A endomorphisms
• Ergodic Attractors
• Exact endomorphisms of a Lebesgue space
• Endomorphisms of Compact Differentiable Manifolds

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