Concepedia
Celestial Mechanics and Dynamical Astronomy · 1990 · 51 citations · 21 references
Natural SciencesAstronomyTheoretical PhysicsCanonical TransformationsModular FormsSymplectic GeometryPeriodic Orbit TheorySymplectic Maps
21
SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
Vladimir I. Arnold · Russian Mathematical Surveys · 1963 · 1.1K citations
Natural Sciences, Mathematics, Physics +17
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
AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
N. N. Nekhoroshev · Russian Mathematical Surveys · 1977 · 757 citations
Natural Sciences, Mathematics, Physics +15
On conservation of conditionally periodic motions for a small change in Hamilton's function
A N Kolmogorov · Proceedings of the USSR Academy of Sciences · 1954 · 655 citations
Natural Sciences, Mathematics, Physics +11
Chaotic behavior and the origin of the 31 Kirkwood gap
Jack Wisdom · Icarus · 1983 · 426 citations
Natural Sciences, Mathematics, Physics +7