Rotation shadowing properties of circle and annulus maps

DOI10.1017/S0143385700004661zbMath0682.58027MaRDI QIDQ4731867

Marcy M. Barge, Richard C. Swanson

Publication date: 1988

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

pseudo-rotation setrotation shadowing of pseudo-orbits

Mathematics Subject Classification ID

Topological dynamics (37B99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (12)

Zero entropy and stable rotation sets for monotone recurrence relations ⋮ Topological entropy, pseudo-orbits and uniform spaces ⋮ Pseudo-Orbits and Topological Entropy ⋮ Pseudo solutions, rotation sets, and shadowing rotations for monotone recurrence relations ⋮ Decomposing dynamics via components of rotation sets ⋮ Chain Transitivity and Rotation Shadowing for Annulus Homeomorphisms ⋮ Realizing rotation numbers on annular continua ⋮ Shadowing Property for Inverse Limit Spaces ⋮ The rotation set of a homeomorphism of the annulus is closed ⋮ Periodic Orbits and the Continuity of Rotation Numbers ⋮ Boundaries of rotation sets for homeomorphisms of the 𝑛-torus ⋮ Upper metric mean dimensions with potential

Cites Work

• Bifurcations and stability of families of diffeomorphisms
• Ergodic theory on compact spaces

This page was built for publication: Rotation shadowing properties of circle and annulus maps