Average Shadowing Property With Non Uniformly Hyperbolicity on Periodic Points

DOI10.1080/1726037X.2014.917826zbMath1365.54030OpenAlexW2049420659MaRDI QIDQ5247381

Alireza Zamani Bahabadi

Publication date: 24 April 2015

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2014.917826

zbMATH Keywords

average shadowing propertyAnosovnon uniform hyperbolic

Mathematics Subject Classification ID

Cites Work

• Periodic orbits and chain-transitive sets of \(C^1\)-diffeomorphisms
• Shadowing is generic
• Orbital and weak shadowing properties
• Divergence-free vector fields with average and asymptotic average shadowing property
• Diffeomorphisms with weak shadowing
• SHADOWABLE CHAIN TRANSITIVE SETS OF C¹-GENERIC DIFFEOMORPHISMS
• Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
• Limit shadowing property
• Global dominated splittings and the $C^1$ Newhouse phenomenon
• Shadowing by non-uniformly hyperbolic periodic points and uniform hyperbolicity
• Diffeomorphisms with the average-shadowing property on two-dimensional closed manifolds

This page was built for publication: Average Shadowing Property With Non Uniformly Hyperbolicity on Periodic Points