On Attractor and Pseudo Orbit Tracing of Uniform Limit Dynamical Systems

DOI10.1080/1726037X.2018.1551719zbMath1499.37049OpenAlexW2945666329MaRDI QIDQ5029626

Phinao Ramwungzan, Binod Mangang

Publication date: 14 February 2022

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.2018.1551719

zbMATH Keywords

attractorrecurrent pointpseudo-orbit tracing

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

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Cites Work

• Devaney's chaos on uniform limit maps
• A note on the uniform limit of transitive dynamical systems
• Dynamics in one dimension
• Chaos in nonautonomous discrete dynamical systems
• Erratum to ``Uniform convergence and chaotic behavior by Abu-Saris and K. Al-Hami.
• Chaos of a sequence of maps in a metric space
• On Intervals, Transitivity = Choas
• Introduction to Dynamical Systems
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