Tolerance stability conjecture revisited

DOI10.1016/S0166-8641(02)00261-4zbMath1024.37012WikidataQ123253036 ScholiaQ123253036MaRDI QIDQ1398188

Marcin Mazur

Publication date: 29 July 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

generic propertydiscrete dynamical systemshadowingchain recurrencetolerance stability

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Stability theory for smooth dynamical systems (37C75)

Related Items (10)

Chaos and the shadowing property ⋮ Generic properties of \(\mathbb Z^{2}\)-actions on the interval ⋮ Periodic orbits and chain-transitive sets of \(C^1\)-diffeomorphisms ⋮ On the genericity of chaos ⋮ Shadowing is generic -- a continuous map case ⋮ Controlled shadowing property ⋮ Sets of invariant measures and Cesaro stability ⋮ A note on chaos and the shadowing property ⋮ On genericity of shadowing and periodic shadowing property ⋮ Chain recurrent sets of generic mappings on compact spaces

Cites Work

• Shadowing is generic
• Generic Homeomorphisms have the Pseudo-Orbit Tracing Property
• A note on tolerance stable dynamical systems
• Dynamics of topologically generic homeomorphisms
• On proofs of the $C^0$ general density theorem
• Properties of attractors of generic homeomorphisms
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