Genericity of inverse shadowing property

DOI10.1080/10236190903213464zbMath1196.37048OpenAlexW2135210133MaRDI QIDQ3570136

Marcin Mazur, Piotr Kościelniak

Publication date: 24 June 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903213464

zbMATH Keywords

covering relationstopological dynamicsgeneric propertiesinverse shadowing

Mathematics Subject Classification ID

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

Related Items (4)

Shadowing is generic -- a continuous map case ⋮ Shadowing is generic on various one-dimensional continua with a special geometric structure ⋮ s-limit shadowing is \(\mathcal C^0\)-dense ⋮ Scrambled sets and chain recurrence points of generic graph maps

Cites Work

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• Weak shadowing for discrete dynamical systems on nonsmooth manifolds
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• On genericity of shadowing and periodic shadowing property
• Chaos and the shadowing property
• Possible chaotic motion of comets in the Sun–Jupiter system—a computer-assisted approach based on shadowing
• Rigorous verification of chaotic behaviour of maps using validated shadowing
• WEAK INVERSE SHADOWING AND GENERICITY
• Verification of chaotic behaviour in the planar restricted three body problem

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