Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems

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

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

John N. Mather · Topology · 1982 · 519 citations

Natural Sciences, Mathematics, Dynamical Systems +9

Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

C. Eugene Wayne · Communications in Mathematical Physics · 1990 · 467 citations

Natural Sciences, Mathematics, Physics +11

The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold

C. Conley, Eduard Zehnder · Inventiones mathematicae · 1983 · 328 citations

Natural Sciences, Mathematics, Algebra +11