Vladimir I. Arnold

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Mathematical models and control of catastrophic processes

Aleksei A Davydov, V. A. Vasiliev, Vladimir I. Arnold, 2005 .

Basic Principles of Classical Mechanics

Anatoly I. Neishtadt, Vladimir I. Arnold, Valery V. Kozlov, 2006 .

From Hilbert's Superposition Problem to Dynamical Systems

Vladimir I. Arnold, V. Arnold, 2004, Am. Math. Mon..

Mathematical Models of Catastrophes. Control of Catastrophic Processes

Aleksei A Davydov, Vladimir I. Arnold, Victor A. Vassiliev, 2006 .

Collected works || uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region

Jerrold E. Marsden, Boris Khesin, Vladimir I. Arnold, 2009 .

Local problems of analysis

Vladimir I. Arnold, V. Arnold, 1970 .

Symplectization, Complexification and Mathematical Trinities

Vladimir I. Arnold, V. Arnold, 1999 .

Dynamical Systems with Hydrodynamic Background

Boris Khesin, Vladimir I. Arnold, 2021 .

The Double-Layer Potential

Vladimir I. Arnold, V. Arnold, 2004 .

NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS

Vladimir I. Arnold, V. Arnold, 1974 .

Encyclopaedia of Mathematical Sciences

Vladimir I. Arnold, S. Nikov, V. Arnold, 1990 .

The cohomology ring of the colored braid group

Vladimir I. Arnold, V. Arnold, 1969 .

CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS

Vladimir I. Arnold, V. Arnold, 1975 .

The geometry of spherical curves and the algebra of quaternions

Vladimir I. Arnold, 1995 .

Instability of Dynamical Systems with Several Degrees of Freedom

Vladimir I. Arnold, V. Arnold, 2020, Hamiltonian Dynamical Systems.

The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups

Vladimir I. Arnold, V. Arnold, 1992 .

Dynamical Systems IV: Symplectic Geometry and its Applications

Sergei Petrovich Novikov, Vladimir I. Arnold, 2010 .

Critical Points of Functions

Vladimir I. Arnold, V. A. Vasil’ev, V. V. Goryunov, 1998 .

Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals

Vladimir I. Arnold, Sabir M. Gusein-Zade, Alexander Varchenko, 2012 .

Modes and quasimodes

Vladimir I. Arnold, V. Arnold, 1972 .

Kolmogorov's Hydrodynamic Attractors

Vladimir I. Arnold, 1991 .

Singularities of Caustics and Wave Fronts

Vladimir I. Arnold, V. Arnold, 1990 .

Dynamical Systems VII: Integrable Systems Nonholonomic Dynamical Systems

Sergei Petrovich Novikov, Vladimir I. Arnold, V. Arnold, 1994 .

The stability problem and ergodic properties for classical dynamical systems

Vladimir I. Arnold, V. Arnold, 1968 .

The cohomology ring of the colored braid group

Vladimir I. Arnold, 1969 .

Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics

Vladimir I. Arnold, V. Arnold, 1991 .

Some unsolved problems in the theory of differential equations and mathematical physics

Vladimir I. Arnold, A. S. Kalashnikov, Mikhail Shubin, 1989 .

THE ROLE OF MATHEMATICS IN PHYSICAL SCIENCES

Vladimir I. Arnold, V. Arnold, 2003 .

Mathematical aspects of classical and celestial mechanics (2nd ed.)

Vladimir I. Arnold, V. Arnold, A. Neishtadt, 1997 .

INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES

Vladimir I. Arnold, V. Arnold, 1979 .

Topological classification of real trigonometric polynomials and cyclic serpents polyhedron

Vladimir I. Arnold, V. Arnold, 1997 .

Singularity Theory II Classification and Applications

Vladimir I. Arnold, V. A. Vasil’ev, V. Arnold, 1993 .

Singularity Theory I

Vladimir I. Arnold, V. A. Vasil’ev, V. Arnold, 1998 .

Wave front evolution and equivariant Morse lemma

Vladimir I. Arnold, V. Arnold, 1976 .

A Catastrophe Machine

Vladimir I. Arnold, 1984 .

A.N. Kolmogorov and natural science

Vladimir I. Arnold, 2004 .

The asymptotic Hopf invariant and its applications

Vladimir I. Arnold, V. Arnold, 1974 .

Ordinary differential equations and smooth dynamical systems

Vladimir I. Arnold, V. Arnold, Y. Ilyashenko, 1997 .

Symplectic geometry and topology

Vladimir I. Arnold, V. Arnold, 2000 .

Dynamics, Statistics and Projective Geometry of Galois Fields

Vladimir I. Arnold, V. Arnold, 2011 .

Dynamical Systems I

Vladimir I. Arnold, D. V. Anosov, V. Arnold, 1988 .

First-Order Partial Differential Equations

Vladimir I. Arnold, 1988 .

Remarks on the perturbation theory for problems of Mathieu type

Vladimir I. Arnold, V. Arnold, 1983 .

Singularities of Differentiable Maps, Volume 2

Vladimir I. Arnold, Sabir M. Gusein-Zade, V. Arnold, 2012 .

On the topology of three-dimensional steady flows of an ideal fluid

Vladimir I. Arnold, V. Arnold, 1966 .

Dynamical systems. VI, Singularity theory

Vladimir I. Arnold, V. Arnold, 1993 .

Large Scale Distribution of Matter in the Universe

Vladimir I. Arnold, V. Arnold, 1984 .

Arnold's Problems

Vladimir I. Arnold, V. Arnold, 2008 .

Algebraic unsolvability of the problem of Lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations

Vladimir I. Arnold, 1971 .