Global Surfaces of Section in the Planar Restricted 3-Body Problem

Dynamical systems with two degrees of freedom

George D. Birkhoff · Transactions of the American Mathematical Society · 1917 · 284 citations

X/7 Reduces, Deterministic Dynamical System, Discrete Dynamical System +3

The Dynamics on Three-Dimensional Strictly Convex Energy Surfaces

Helmut Hofer, Krzysztof Wysocki, Eduard Zehnder · Annals of Mathematics · 1998 · 256 citations

Integral Geometry, Global Surface, Geometric Partial Differential Equation +8

Geodesics onS 2 and periodic points of annulus homeomorphisms

John Franks · Inventiones mathematicae · 1992 · 203 citations

Geometry, Riemannian Geometry, Global Analysis +2

Proof of Poincaré’s geometric theorem

George D. Birkhoff · Transactions of the American Mathematical Society · 1913 · 198 citations · Full text

Global Geometry, Geometry, Riemannian Geometry +2

Finite energy foliations of tight three-spheres and Hamiltonian dynamics

Helmut Hofer, Kris Wysocki, Eduard Zehnder · Annals of Mathematics · 2003 · 177 citations · Full text