Periodic Orbits and the Continuity of Rotation Numbers

DOI10.2307/2159726zbMath0768.58041OpenAlexW4243641872MaRDI QIDQ4032531

Richard C. Swanson

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2159726

zbMATH Keywords

periodic orbitsrotation numberchain recurrent set

Mathematics Subject Classification ID

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

Related Items (4)

Rotational entropy -- a homotopy invariant for torus maps ⋮ Generalized rotation sets and rotational entropy for circle maps ⋮ Chain Transitivity and Rotation Shadowing for Annulus Homeomorphisms ⋮ Rotation and entropy

Cites Work

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• Periodic points and rotation numbers for area preserving diffeomorphisms of the plane
• Recurrence and fixed points of surface homeomorphisms
• Rotation and periodicity in plane separating continua
• Rotation shadowing properties of circle and annulus maps

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