Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Mathematical Methods of Classical Mechanics

- V. Arnold
- Physics, Mathematics
- 1974

Part 1 Newtonian mechanics: experimental facts investigation of the equations of motion. Part 2 Lagrangian mechanics: variational principles Lagrangian mechanics on manifolds oscillations rigid… Expand

10,182 662- PDF

Geometrical Methods in the Theory of Ordinary Differential Equations

- V. Arnold
- Computer Science, Mathematics
- 1983

Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has Since the author explains basic ideas free… Expand

2,887 215- PDF

Topological methods in hydrodynamics

A group theoretical approach to hydrodynamics considers hydrodynamics to be the differential geometry of diffeomorphism groups. The principle of least action implies that the motion of a fluid is… Expand

1,230 117- PDF

SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

- Vladimir I. Arnold
- Mathematics
- 1963

CONTENTSIntroduction § 1. Results § 2. Preliminary results from mechanics § 3. Preliminary results from mathematics § 4. The simplest problem of stability § 5. Contents of the paperChapter I. Theory… Expand

222 56

SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

- V. Arnold
- Mathematics
- 31 December 1963

CONTENTSIntroduction § 1. Results § 2. Preliminary results from mechanics § 3. Preliminary results from mathematics § 4. The simplest problem of stability § 5. Contents of the paperChapter I. Theory… Expand

917 53

ON MATRICES DEPENDING ON PARAMETERS

- V. Arnold
- Mathematics
- 30 April 1971

1. Классические результаты (Аполлоний, Декарт, Ньютон, Харнак). Шестнадцатая проблема Гильберта.

194 46

Ordinary Differential Equations

Basic Concepts.- Basic Theorems.- Linear Systems.- Proofs of the Main Theorems.- Differential Equations on Manifolds.

1,412 30

The asymptotic Hopf invariant and its applications

- V. Arnold
- Mathematics
- 1974

The classical Hopf invariant distinguishes among the homotopy classes of continuous mappings from the three-sphere to the two-sphere and is equal to the linking number of the two curves that are the… Expand

239 28

The cohomology ring of the colored braid group

- V. Arnold
- 1969

The cohomology ring is obtained for the space of ordered sets of n different points of a plane.

217 28

...

1

2

3

4

5

...