Generic homeomorphisms with shadowing of one-dimensional continua

DOI10.3390/AXIOMS8020066zbMath1432.37066arXiv1907.02570OpenAlexW2964249136WikidataQ127860825 ScholiaQ127860825MaRDI QIDQ2306339

Gonzalo Cousillas, Alfonso Artigue

Publication date: 23 March 2020

Published in: Axioms (Search for Journal in Brave)

Abstract: In this article we show that there are homeomorphisms of plane continua whose conjugacy class is residual and have the shadowing property.

Full work available at URL: https://arxiv.org/abs/1907.02570

zbMATH Keywords

shadowing propertyone-dimensional dynamicsgeneric dynamics

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Graph theoretic structure of maps of the Cantor space
• Pseudo-orbit shadowing on the unit interval
• Shadowing in dynamical systems
• Shadowing is generic
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• Generically there is but one self homeomorphism of the Cantor set
• Dynamics of topologically generic homeomorphisms

Related Items (3)

Recurrence, rigidity, and shadowing in dynamical systems ⋮ Suspensions of homeomorphisms with the two-sided limit shadowing property ⋮ Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type

This page was built for publication: Generic homeomorphisms with shadowing of one-dimensional continua