The rotation set of a homeomorphism of the annulus is closed

On the geometry and dynamics of diffeomorphisms of surfaces

William P. Thurston · Bulletin of the American Mathematical Society · 1988 · 1.1K citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +9

The discrete Frenkel-Kontorova model and its extensions

S. Aubry, P. Y. Le Daëron · Physica D Nonlinear Phenomena · 1983 · 671 citations

Natural Sciences, Mathematics, Physics +10

Existence of quasi-periodic orbits for twist homeomorphisms of the annulus

John N. Mather · Topology · 1982 · 519 citations

Natural Sciences, Mathematics, Dynamical Systems +9

Global shadowing of pseudo-Anosov homeomorphisms

Michael Handel · Ergodic Theory and Dynamical Systems · 1985 · 84 citations · Full text

Natural Sciences, Mathematics, Topology +9

Rotation shadowing properties of circle and annulus maps

Marcy Barge, R.M. Swanson · Ergodic Theory and Dynamical Systems · 1988 · 24 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +10