On the representation of functions of two variables in the form ?[?(x)
] ?(y)].- On functions of three variables.- The mathematics workshop
for schools at Moscow State University.- The school mathematics circle
at Moscow State University: harmonic functions.- On the representation
of functions of several variables as a superposition of functions of a
smaller number of variables.- Representation of continuous functions of
three variables by the superposition of continuous functions of two
variables.- Some questions of approximation and representation of
functions.- Kolmogorov seminar on selected questions of analysis.- On
analytic maps of the circle onto itself.- Small denominators. I. Mapping
of the circumference onto itself.- The stability of the equilibrium
position of a Hamiltonian system of ordinary differential equations in
the general elliptic case.- Generation of almost periodic motion from a
family of periodic motions.- Some remarks on flows of line elements and
frames.- A test for nomographic representability using Decartes'
rectilinear abacus.- Remarks on winding numbers.- On the behavior of an
adiabatic invariant under slow periodic variation of the Hamiltonian.-
Small perturbations of the automorphisms of the torus.- The classical
theory of perturbations and the problem of stability of planetary
systems.- Letter to the editor.- Dynamical systems and group
representations at the Stockholm Mathematics Congress.- Proof of a
theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions
under small perturbations of the Hamiltonian.- Small denominators and
stability problems in classical and celestial mechanics.- Small
denominators and problems of stability of motion in classical and
celestial mechanics.- Uniform distribution of points on a sphere and
some ergodic properties of solutions of linear ordinary differential
equations in a complex region.- On a theorem of Liouville concerning
integrable problems of dynamics.- Instability of dynamical systems with
several degrees of freedom.- On the instability of dynamical systems
with several degrees of freedom.- Errata to V.I. Arnol'd's paper: "Small
denominators. I.".- Small denominators and the problem of stability in
classical and celestial mechanics.- Stability and instability in
classical mechanics.- Conditions for the applicability, and estimate of
the error, of an averaging method for systems which pass through states
of resonance in the course of their evolution.- On a topological
property of globally canonical maps in classical mechanics.
