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Mathematical Methods of Classical Mechanics
- V. Arnold
- Physics
- 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…
Geometrical Methods in the Theory of Ordinary Differential Equations
- V. Arnold
- 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…
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…
ON MATRICES DEPENDING ON PARAMETERS
- V. Arnold
- Mathematics
- 30 April 1971
1. Классические результаты (Аполлоний, Декарт, Ньютон, Харнак). Шестнадцатая проблема Гильберта.
ON MATRICES DEPENDING ON PARAMETERS
- V. Arnold
- Mathematics
- 30 April 1971
1. Классические результаты (Аполлоний, Декарт, Ньютон, Харнак). Шестнадцатая проблема Гильберта.
Small Denominators and Problems of Stability of Motion in Classical and Celestial Mechanics
- V. Arnold
- MathematicsHamiltonian Dynamical Systems
- 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…
Instability of Dynamical Systems with Several Degrees of Freedom
- V. Arnold
- PhysicsHamiltonian Dynamical Systems
- 17 August 2020
Ordinary Differential Equations
Basic Concepts.- Basic Theorems.- Linear Systems.- Proofs of the Main Theorems.- Differential Equations on Manifolds.
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…
The cohomology ring of the colored braid group
- V. Arnold
- Mathematics
- 1 February 1969
The cohomology ring is obtained for the space of ordered sets of n different points of a plane.
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