On the Persistence of Lower Dimensional Invariant Tori under Quasi-Periodic Perturbations

Theory of Orbits.

V. Szebehely · NASA Technical Reports Server (NASA) · 1967 · 1.3K citations

Natural Sciences, Mathematics, Dynamical Systems +13

PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

Vladimir I. Arnold · Russian Mathematical Surveys · 1963 · 939 citations

Natural Sciences, Mathematics, Physics +13

Convergent series expansions for quasi-periodic motions

J�rgen Moser · Mathematische Annalen · 1967 · 586 citations

Natural Sciences, Mathematics, Physics +13

Analytic construction of periodic orbits about the collinear points

D. L. Richardson · Celestial Mechanics and Dynamical Astronomy · 1980 · 431 citations

Natural Sciences, Mathematics, Dynamical Systems +8

Integrability of hamiltonian systems on cantor sets

Jürgen Pöschel · Communications on Pure and Applied Mathematics · 1982 · 386 citations

Natural Sciences, Mathematics, Physics +13