Various shadowing properties for positively expansive maps

DOI10.1016/S0166-8641(02)00260-2zbMath1024.37016MaRDI QIDQ1398187

Kazuhiro Sakai

Publication date: 29 July 2003

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

zbMATH Keywords

expandingpseudo-orbitlimit shadowingLipschitz shadowingaverage shadowingcompact metrizable spacepositively expansive map\(s\)-limit shadowingstrong shadowing

Mathematics Subject Classification ID

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Cites Work

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• On homeomorphisms with pseudo-orbit tracing property
• General random perturbations of hyperbolic and expanding transformations
• On homeomorphisms with Markov partitions
• Anosov maps on closed topological manifolds
• Expanding maps on compact metric spaces
• Shadowing in dynamical systems
• Deterministic Properties of Stochastically Perturbed Dynamic Systems
• Periodic Points of Positively Expansive Maps
• Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
• Thermodynamic formalism of maps satisfying positive expansiveness and specification
• Local expansions, derivatives, and fixed points
• Endomorphisms of Compact Differentiable Manifolds
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Shadowing properties of \({\mathcal L}\)-hyperbolic homeomorphisms

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