h–Average-Shadowing Property and Chaos

DOI10.1080/1726037X.2013.823806zbMath1312.37023arXiv1505.06547MaRDI QIDQ2935038

Mehdi Fatehi Nia

Publication date: 22 December 2014

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

Full work available at URL: https://arxiv.org/abs/1505.06547

zbMATH Keywords

average shadowing propertychaotic dynamical systemshift mapchain recurrent set\(h\)-average shadowing property

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Symbolic dynamics (37B10)

Cites Work

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• The average-shadowing property and strong ergodicity
• On shadowing: ordinary and ergodic
• Various shadowing properties for positively expansive maps
• The average-shadowing property and topological ergodicity
• The asymptotic average shadowing property and transitivity
• Chaos and the shadowing property
• AVERAGE SHADOWING PROPERTIES ON COMPACT METRIC SPACES
• Shadowing properties of \({\mathcal L}\)-hyperbolic homeomorphisms
• Use of chaotic dynamical systems in cryptography

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