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Collected Works

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Table of Contents

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    Book Overview
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    Chapter 1 On the representation of functions of two variables in the form χ [ φ ( x ) + ψ ( y )]
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    Chapter 2 On functions of three variables
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    Chapter 3 The mathematics workshop for schools at Moscow State University
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    Chapter 4 The school mathematics circle at Moscow State University: harmonic functions
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    Chapter 5 On the representation of functions of several variables as a superposition of functions of a smaller number of variables
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    Chapter 6 Representation of continuous functions of three variables by the superposition of continuous functions of two variables
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    Chapter 7 Some questions of approximation and representation of functions
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    Chapter 8 Kolmogorov seminar on selected questions of analysis
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    Chapter 9 On analytic maps of the circle onto itself
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    Chapter 10 Small denominators. I. Mapping of the circumference onto itself
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    Chapter 11 The stability of the equilibrium position of a Hamiltonian system of ordinary differential equations in the general elliptic case
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    Chapter 12 Generation of almost periodic motion from a family of periodic motions
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    Chapter 13 Some remarks on flows of line elements and frames
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    Chapter 14 A test for nomographic representability using Decartes’ rectilinear abacus
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    Chapter 15 Remarks on winding numbers
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    Chapter 16 On the behavior of an adiabatic invariant under slow periodic variation of the Hamiltonian
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    Chapter 17 Small perturbations of the automorphisms of the torus
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    Chapter 18 The classical theory of perturbations and the problem of stability of planetary systems
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    Chapter 19 Letter to the editor
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    Chapter 20 Dynamical systems and group representations at the Stockholm Mathematics Congress
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    Chapter 21 Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian
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    Chapter 22 Small denominators and stability problems in classical and celestial mechanics
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    Chapter 23 Small denominators and problems of stability of motion in classical and celestial mechanics
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    Chapter 24 Uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region
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    Chapter 25 On a theorem of Liouville concerning integrable problems of dynamics
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    Chapter 26 Instability of dynamical systems with several degrees of freedom
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    Chapter 27 On the instability of dynamical systems with several degrees of freedom
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    Chapter 28 Errata to V.I. Arnol’d’s paper: “Small denominators. I.”
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    Chapter 29 Small denominators and the problem of stability in classical and celestial mechanics
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    Chapter 30 Stability and instability in classical mechanics
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    Chapter 31 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
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    Chapter 32 On a topological property of globally canonical maps in classical mechanics
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Title
Collected Works
Published by
Springer Berlin Heidelberg, October 2009
DOI 10.1007/978-3-642-01742-1
ISBNs
978-3-64-201741-4, 978-3-64-201742-1
Authors

Arnold, Vladimir I.

Editors

Givental, Alexander B., Khesin, Boris A., Marsden, Jerrold E., Varchenko, Alexander N., Vassiliev, Victor A., Viro, Oleg Ya., Zakalyukin, Vladimir M.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 30 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 30 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 2 7%
Professor 2 7%
Student > Master 2 7%
Other 1 3%
Student > Postgraduate 1 3%
Other 0 0%
Unknown 22 73%
Readers by discipline Count As %
Physics and Astronomy 2 7%
Mathematics 2 7%
Biochemistry, Genetics and Molecular Biology 1 3%
Earth and Planetary Sciences 1 3%
Social Sciences 1 3%
Other 0 0%
Unknown 23 77%