V. Arnold

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Mathematical Methods of Classical Mechanics

V. Arnold, 1974 .

ON MATRICES DEPENDING ON PARAMETERS

V. Arnold, 1971 .

ON MATRICES DEPENDING ON PARAMETERS

V. Arnold, 1971 .

Ordinary Differential Equations

V. Arnold, F. Brauer, R. Cook, 1973 .

Topological methods in hydrodynamics

V. Arnold, B. Khesin, 1998 .

SINGULARITIES OF SMOOTH MAPPINGS

V. Arnold, 1968 .

Dynamical systems V. Bifurcation theory and catastrophe theory

V. Arnold, 1994 .

Plane curves, their invariants, Perestroikas, and classifications

V. Arnold, 1994 .

Topological Invariants of Plane Curves and Caustics

V. Arnold, 1994 .

Geometrical Methods in the Theory of Ordinary Differential Equations

Vladimir Igorevich Arnold, V. Arnold, 1983 .

Singularities of systems of rays

V. Arnold, 1983 .

A few words on Andrei Nikolaevich Kolmogorov

V. Arnold, 1988 .

Dynamical Systems VII

V. Arnold, S. Novikov, 1994 .

LECTURES ON BIFURCATIONS IN VERSAL FAMILIES

V. Arnold, 1972 .

Dynamical Systems III: Mathematical Aspects of Classical and Celestial Mechanics

V. Arnold, V. Kozlov, A. Neishtadt, 1989 .

Forgotten and neglected theories of Poincaré

V. Arnold, 2006 .

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

V. Arnold, 1963 .

Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid

V. Arnold, 1969 .

Dynamical Systems III

V. Arnold, V. Kozlov, A. Neishtadt, 1987 .

Mathematics: Frontiers and Perspectives

V. Arnold, P. Lax, M. Atiyah, 2000 .

Singularities of Differentiable Maps, Volume 1

V. Arnold, S. Gusein-Zade, A. Varchenko, 2012 .

Complex Algebraic Curves

V. Arnold, 2013 .

On the number of flattening points on space curves

V. Arnold, 1995 .

Arnold in his own words

V. Arnold, 2014 .

Polymathematics: Is mathematics a single science or a set of arts?

V. Arnold, 2000 .

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

Vladimir I. Arnold, V. Arnold, 1992 .

Remarks on the perturbation theory for problems of Mathieu type

Vladimir I. Arnold, V. Arnold, 1983 .

Dynamical Systems I

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

Frequent Representations

V. Arnold, 2004 .

"Huygens and Barrow, Newton and Hooke": Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals

V. Arnold, 1990 .

Wave front evolution and equivariant Morse lemma

Vladimir I. Arnold, V. Arnold, 1976 .

Towards the Legendrian Sturm Theory of Space Curves X X X2. the Legendrian Hulls of Curves in Projective Space P N P N P N and Their Fronts

V. Arnold, V. A. Steklov, 1998 .

Towards the legendre sturm theory of space curves

V. Arnold, 1998 .

Caustics, Wave Fronts, and Their Metamorphoses

V. Arnold, 1984 .

Classification of bimodal critical points of functions

V. Arnold, 1974 .

On the arrangement of ovals of real plane algebraic curves, involutions of four-dimensional smooth manifolds, and the arithmetic of integral quadratic forms

V. Arnold, 1971 .

NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS

Vladimir I. Arnold, V. Arnold, 1974 .

On the matricial version of Fermat–Euler congruences

V. Arnold, 2006 .

Topological invariants of algebraic functions II

V. Arnold, 1970 .

Number-Theoretical Turbulence in Fermat–Euler Arithmetics and Large Young Diagrams Geometry Statistics

V. Arnold, 2005 .

Fermat–Euler Dynamical Systems and the Statistics of Arithmetics of Geometric Progressions

V. Arnold, 2003 .

Ergodic and arithmetical properties of geometrical progression's dynamics and of its orbits

V. Arnold, 2005 .

Small Denominators and Problems of Stability of Motion in Classical and Celestial Mechanics

V. Arnold, 1963, Hamiltonian Dynamical Systems.

Statistics of the periods of continued fractions for quadratic irrationals

V. Arnold, 2008 .

Matrix Fermat theorem, finite circles and finite Lobachevsky plane

V. Arnold, 2004 .

The complex Lagrangian Grassmannian

V. Arnold, 2000 .

A-graded algebras and continued fractions

V. Arnold, 1989 .

Opinion: Will mathematics survive? report on the zurich congress

V. I. Arnold, V. Arnold, 1995 .

Higher Dimensional Continued Fractions

V. Arnold, 1998 .

Huygens and Barrow, Newton and Hooke

V. Arnold, 1990 .

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

Vladimir I. Arnold, V. Arnold, 1991 .

Variational principle for three-dimensional steady-state flows of an ideal fluid

V. Arnold, 1965 .

Dynamics of Intersections

V. Arnold, 1990 .

The topology of real algebraic curves

V. Arnold, 1973 .

Arnold's Problems

Vladimir I. Arnold, V. Arnold, 2008 .

Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)

V. S. Vladimirov, V. Arnold, Y. Osipov, 1995 .

The geometry of spherical curves and the algebra of quaternions

V. Arnold, 1995 .

Encyclopaedia of Mathematical Sciences

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

Dynamics of complexity of intersections

V. Arnold, 1990 .

Simple Singularities of Curves

V. Arnold, 1999 .

First Steps of Local Contact Algebra

V. Arnold, Vladimir I. Arnold, 1999, Canadian Journal of Mathematics.

First Steps of Local Symplectic Algebra

V. Arnold, 1999 .

Singularity Theory I

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

Singularities in variational calculus

V. Arnold, 1984 .

Modes and quasimodes

Vladimir I. Arnold, V. Arnold, 1972 .

The cohomology ring of the colored braid group

Vladimir I. Arnold, V. Arnold, 1969 .

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

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

Ordinary differential equations and smooth dynamical systems

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

Relatives of the Quotient of the Complex Projective Plane by the Complex Conjugation

V. Arnold, 1999 .

Topological content of the Maxwell theorem on multiple representation of spherical functions

V. Arnold, 1996 .

On an a priori estimate in the theory of hydrodynamical stability

V. Arnold, 1966 .

Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid

Vladimir Igorevich Arnold, V. Arnold, 1965 .

Problems to the Seminar, 2003-2004

V. Arnold, 2004 .

1 Fermat-Euler statistics and number-theoretic turbulence

V. Arnold, 2022 .

Symplectization, Complexification and Mathematical Trinities

Vladimir I. Arnold, V. Arnold, 1999 .

Remarks on eigenvalues and eigenvectors of Hermitian matrices, berry phase, adiabatic connections and quantum Hall effect

V. I. Arnold, V. Arnold, 1995 .

Local normal forms of functions

V. I. Arnold, V. Arnold, 1976 .

Instability of Dynamical Systems with Several Degrees of Freedom

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

Remarks on quasicrystallic symmetries

V. Arnold, 1988 .

Introduction to perturbation theory

V. Arnold, 1989 .

From Hilbert's Superposition Problem to Dynamical Systems

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

On the representation of functions of several variables as a superposition of functions of a smaller number of variables

V. Arnold, J. Marsden, B. Khesin, 2009 .

CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS

Vladimir I. Arnold, V. Arnold, 1975 .

The asymptotic Hopf invariant and its applications

Vladimir I. Arnold, V. Arnold, 1974 .

THE ROLE OF MATHEMATICS IN PHYSICAL SCIENCES

Vladimir I. Arnold, V. Arnold, 2003 .

Singularities of Caustics and Wave Fronts

Vladimir I. Arnold, V. Arnold, 1990 .

A correction to: Wave front evolution and equivariant morse lemma

V. Arnold, 1977 .

Differential algebra of Legendrian links

V. Arnold, 2002 .

Some remarks on symplectic monodromy of Milnor fibrations

V. Arnold, 1995 .

Symplectic geometry and topology

Vladimir I. Arnold, V. Arnold, 2000 .

Critical Points of Smooth Functions

V. Arnold, 1975 .

REMARKS ON THE STATIONARY PHASE METHOD AND COXETER NUMBERS

V. Arnold, 1973 .

Singularities of Differentiable Maps, Volume 2

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

Galina Nikolaevna Tyurina (obituary)

V. Arnold, I. Gel'fand, I. Shafarevich, 1971 .

Singularity Theory II Classification and Applications

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

On some problems in singularity theory

V. Arnold, 1981 .

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 .

CRITICAL POINTS OF FUNCTIONS ON A MANIFOLD WITH BOUNDARY, THE SIMPLE LIE GROUPS Bk, Ck, AND F4 AND SINGULARITIES OF EVOLUTES

V. Arnold, 1978 .

Theory of perturbations and asymptotic methods

V. P. Maslov, V. I. Arnold, V. Arnold, 1972 .

Remarks on the Extatic Points of Plane Curves

V. Arnold, 1996 .

SPACES OF LOCALLY CONVEX CURVES IN S AND COMBINATORICS OF THE GROUP B

V. Arnold, N. Saldanha, 2012 .

The stability problem and ergodic properties for classical dynamical systems

Vladimir I. Arnold, V. Arnold, 1968 .

The Double-Layer Potential

Vladimir I. Arnold, V. Arnold, 2004 .

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

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

Newton's principia read 300 years later

V. Arnold, V. Vasil'ev, 1991 .

Magnetic field in a stationary flow with stretching in Riemannian space

D. D. Sokolov, V. Arnold, Y. Zel’dovich, 1981 .

On some problems in symplectic topology

V. Arnold, 1988 .

Topological methods in hydrodynamics Applied Mathematical Sciences 125

V. Arnold, B. Khesin, 1998 .

Dynamical Systems IV

V. Arnold, S. Novikov, 1987 .

Yurii Alekseevich Mitropol'skii (on his 90th birthday)

V. S. Vladimirov, V. Arnold, Y. Osipov, 2007 .

Local problems of analysis

Vladimir I. Arnold, V. Arnold, 1970 .

Remarks on singularities of finite codimension in complex dynamical systems

V. Arnold, 1969 .

About Vladimir Abramovich Rokhlin

V. Arnold, 2014 .

Topological problems of the theory of wave propagation

V. Arnold, 1996 .

Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians

V. Arnold, 2014 .

Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail

V. Arnold, 1981 .

Symplectic and Contact Geometry

V. Arnold, 1986 .

On teaching mathematics

V. I. Arnold, V. Arnold, 1998 .

Orbits' statistics in chaotic dynamical systems

V. Arnold, V Arnold, 2008 .

Stochastic and deterministic characteristics of orbits in chaotically looking dynamical systems

V. I. Arnold, V. Arnold, 2009 .

Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory

V. Arnold, 2012 .

Topological classification of trigonometric polynomials and combinatorics of graphs with an equal number of vertices and edges

V. I. Arnold, V. Arnold, 1996 .

On some topological invariants of algebraic functions

V. Arnold, 1970 .

MATHEMATICAL EVENTS IN THE USSR: Ol'ga Arsen'evna Oleinik (on her sixtieth birthday)

A. S. Kalashnikov, A. N. Kolmogorov, V. Arnold, 1995 .

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

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

Dmitrii Viktorovich Anosov (on his 60th birthday)

V. Arnold, Y. Osipov, Y. Sinai, 1997 .

Continued fractions of square roots of rational numbers and their statistics

V. Arnold, 2007 .

Mathematical aspects of classical and celestial mechanics

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

Vladimir Abramovich Rokhlin (obituary)

A. N. Kolmogorov, V. Arnold, Y. Sinai, 1986 .

Optimization in Mean and Phase Transitions in Controlled Dynamical Systems

V. Arnold, 2002 .

Lobachevsky triangle altitudes theorem as the Jacobi identity in the Lie algebra of quadratic forms on symplectic plane

V. Arnold, 2005 .

Real algebraic geometry

V. Arnold, E. Shustin, V. Kharlamov, 2013 .

Arithmetics of binary quadratic forms, symmetry of their continued fractions and geometry of their de Sitter world

V. Arnold, 2003 .

Vyacheslav Alekseevich Oleinikov (obituary)

A. G. Vitushkin, V. Arnold, V. Tikhomirov, 1990 .

Dynamics, Statistics and Projective Geometry of Galois Fields

Vladimir I. Arnold, V. Arnold, 2011 .

Stochastic and deterministic characteristics of orbits in chaotically looking dynamical systems

V. Arnold, Trudy Moskov, Cn− C0X, 2009 .

Statistics of Young Diagrams of Cycles of Dynamical Systems for Finite Tori Automorphisms

V. Arnold, 2006 .

Seventeen Papers on Analysis

Vladimir I. Arnold, V. Boltjanskiĭ, N V Efimov, 1963 .

On one-dimensional cohomology of the Lie algebra of divergence-free vector fields and on rotation numbers of dynamic systems

V. Arnold, 1969 .

A Renormalization Proof of the Kam Theorem for Non-analytic Perturbations

V. Arnold, 2007 .

Mathematics and physics: mother and daughter or sisters?

V. Arnold, 1999 .

BIFURCATIONS AND SINGULARITIES IN MATHEMATICS AND MECHANICS

V. Arnold, 1989 .

Cardiac arrhythmias and circle mappings(a)).

V. I. Arnold, V. Arnold, 1991, Chaos.

From superpositions to KAM theory

V. Arnold, 1937 .

IVAN GEORGIEVICH PETROVSKII (on his seventieth birthday)

P. S. Aleksandrov, A. N. Kolmogorov, V. Arnold, 1971 .

ON THE TOPOLOGY OF COORIENTED WAVE FRONTS IN SPACES OF SMALL DIMENSIONS

V. Arnold, V. Sedykh, 2011 .

Geometry and Growth Rate of Frobenius Numbers of Additive Semigroups

V. Arnold, V. I. Arnold, 2006 .

THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS ARITHMETICAL TURBULENCE OF SELFSIMILAR FLUCTUATIONS STATISTICS OF LARGE FROBENIUS NUMBERS OF ADDITIVE SEMIGROUPS OF INTEGERS

V. Arnold, 2006 .

Dynamical systems. VI, Singularity theory

Vladimir I. Arnold, V. Arnold, 1993 .

Smooth Surfaces and Their Projections

V. Arnold, 1984 .

Singularities of functions, wave fronts, caustics and multidimensional integrals

V. Arnold, A. Givental, A. Varchenko, 2012 .

Surfaces defined by hyperbolic equations

V. Arnold, 1988 .

On the interior scattering of waves, defined by hyperbolic variational principles

V. Arnold, 1988 .

Topological properties of eigenoscillations in mathematical physics

V. Arnold, 2011 .

The Sturm theorems and symplectic geometry

V. Arnold, 1985 .

Steady-state magnetic field in a periodic flow

D. D. Sokolov, V. Arnold, Y. Zel’dovich, 1982 .

Mathematical problems in classical physics

V. I. Arnold, V. Arnold, 1994 .

Large Scale Distribution of Matter in the Universe

Vladimir I. Arnold, V. Arnold, 1984 .

The Vassiliev Theory of Discriminants and Knots

V. Arnold, 1994 .

Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes

V. Arnold, 2004 .

Quasihomogeneous and semiquasihomogeneous singularities

V. Arnold, S. Gusein-Zade, A. Varchenko, 2012 .

Dynamical Systems III: Mathematical Aspects of Classical and Celestial Mechanics

V. Arnold, V. Kozlov, A. Neishtadt, 1993 .

Singularities of Legendre varieties, of evolvents and of fronts at an obstacle

V. Arnold, 1982, Ergodic Theory and Dynamical Systems.

Singularity Theory: Indices of singular points of 1-forms on a manifold with boundary, convolution of invariants of reflection groups and singular projections of smooth surfaces (Volume 34, 1979)

V. Arnold, 1981 .

Remarks on the stationary phase method and Coxeter numbers (Volume 28, 1973)

V. Arnold, 1981 .

Singularity Theory: Normal forms of functions in neighbourhoods of degenerate critical points (Volume 29, 1974)

V. Arnold, 1981 .

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

Vladimir I. Arnold, V. Arnold, 1966 .

Dynamical Systems VII: Integrable Systems Nonholonomic Dynamical Systems

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

Topological classification of real trigonometric polynomials and cyclic serpents polyhedron

Vladimir I. Arnold, V. Arnold, 1997 .

The growth of a magnetic field in a three-dimensional steady incompressible flow

V. Arnold, 1983 .

Singularities in Optimization Problems, the Maxima Function

V. Arnold, 1984 .