# Vladimir Arnold

Russian mathematician who studied integrable systems and differential equations

## Vladimir Arnold's AcademicInfluence.com Rankings

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Mathematics

## Vladimir Arnold's Degrees

- PhD Mathematics Moscow State University

## Why Is Vladimir Arnold Influential?

(Suggest an Edit or Addition)According to Wikipedia, Vladimir Igorevich Arnold was a Soviet and Russian mathematician. While he is known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, he contributed to several areas, including geometrical theory of dynamical systems theory, algebra, catastrophe theory, topology, algebraic geometry, symplectic geometry, symplectic topology, differential equations, classical mechanics, differential geometric approach to hydrodynamics, geometric analysis and singularity theory, including posing the ADE classification problem, since his first main result—the solution of Hilbert's thirteenth problem in 1957 at the age of 19. He co-founded two new branches of mathematics—KAM theory, and topological Galois theory .

## Vladimir Arnold's Published Works

### Published Works

- Mathematical Methods of Classical Mechanics (1974) (11685)
- Geometrical Methods in the Theory of Ordinary Differential Equations (1983) (3164)
- Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits (1966) (1651)
- Topological methods in hydrodynamics (1998) (1523)
- Ordinary Differential Equations (1973) (1376)
- Small Denominators and Problems of Stability of Motion in Classical and Celestial Mechanics (1963) (571)
- Dynamical Systems III (1987) (480)
- ON MATRICES DEPENDING ON PARAMETERS (1971) (440)
- Singularities of Caustics and Wave Fronts (1990) (413)
- The cohomology ring of the colored braid group (1969) (317)
- The asymptotic Hopf invariant and its applications (1974) (311)
- Wave front evolution and equivariant Morse lemma (1976) (303)
- On an a priori estimate in the theory of hydrodynamical stability (1966) (295)
- Sur la topologie des écoulements stationnaires des fluides parfaits (1965) (284)
- CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS (1975) (257)
- Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid (1965) (252)
- Dynamical Systems III: Mathematical Aspects of Classical and Celestial Mechanics (1989) (233)
- Topological Invariants of Plane Curves and Caustics (1994) (230)
- Differential algebra of Legendrian links (2002) (230)
- LECTURES ON BIFURCATIONS IN VERSAL FAMILIES (1972) (194)
- On some topological invariants of algebraic functions (1970) (193)
- Mathematics: Frontiers and Perspectives (2000) (187)
- Theory of perturbations and asymptotic methods (1972) (178)
- Singularity Theory I (1998) (173)
- Plane curves, their invariants, Perestroikas, and classifications (1994) (170)
- Singularities of Differentiable Maps, Volume 1 (2012) (157)
- Dynamical systems V. Bifurcation theory and catastrophe theory (1994) (151)
- NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS (1974) (149)
- Mathematical aspects of classical and celestial mechanics (2nd ed.) (1997) (148)
- Critical points of functions on a manifold with boundary (1978) (142)
- Critical Points of Smooth Functions (1975) (136)
- Modes and quasimodes (1972) (130)
- Dynamical Systems I (1988) (125)
- Local normal forms of functions (1976) (123)
- SINGULARITIES OF SMOOTH MAPPINGS (1968) (118)
- Ordinary differential equations and smooth dynamical systems (1997) (112)
- Encyclopaedia of Mathematical Sciences (1990) (101)
- The geometry of spherical curves and the algebra of quaternions (1995) (99)
- Dynamical Systems IV (1987) (97)
- REMARKS ON THE STATIONARY PHASE METHOD AND COXETER NUMBERS (1973) (96)
- Dynamics of complexity of intersections (1990) (91)
- Arnold's Problems (2008) (90)
- Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid (1969) (87)
- The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups (1992) (83)
- Singularities of systems of rays (1983) (82)
- Some remarks on symplectic monodromy of Milnor fibrations (1995) (82)
- Singularities of Differentiable Maps, Volume 2 (2012) (82)
- Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals (2012) (82)
- INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES (1979) (77)
- Variational principle for three-dimensional steady-state flows of an ideal fluid (1965) (74)
- Remarks on eigenvalues and eigenvectors of Hermitian matrices, berry phase, adiabatic connections and quantum Hall effect (1995) (74)
- Complex Algebraic Curves (2013) (71)
- Dynamical Systems VII (1994) (71)
- Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics (1991) (70)
- Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory (2012) (69)
- Remarks on the perturbation theory for problems of Mathieu type (1983) (66)
- Huygens and Barrow, Newton and Hooke (1990) (63)
- Topological classification of trigonometric polynomials and combinatorics of graphs with an equal number of vertices and edges (1996) (62)
- THE ROLE OF MATHEMATICS IN PHYSICAL SCIENCES (2003) (62)
- Some unsolved problems in the theory of differential equations and mathematical physics (1989) (58)
- "Huygens and Barrow, Newton and Hooke": Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals (1990) (56)
- Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail (1981) (55)
- A-graded algebras and continued fractions (1989) (53)
- Polymathematics: Is mathematics a single science or a set of arts? (2000) (53)
- The Sturm theorems and symplectic geometry (1985) (48)
- Topological invariants of algebraic functions II (1970) (48)
- CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS (1975) (47)
- Topological methods in hydrodynamics Applied Mathematical Sciences 125 (1998) (46)
- On teaching mathematics (1998) (46)
- Higher Dimensional Continued Fractions (1998) (45)
- Mathematical problems in classical physics (1994) (45)
- Simple Singularities of Curves (1999) (45)
- CRITICAL POINTS OF FUNCTIONS ON A MANIFOLD WITH BOUNDARY, THE SIMPLE LIE GROUPS Bk, Ck, AND F4 AND SINGULARITIES OF EVOLUTES (1978) (44)
- Dynamical Systems IV: Symplectic Geometry and its Applications (2010) (43)
- Magnetic field in a stationary flow with stretching in Riemannian space (1981) (43)
- Topological problems of the theory of wave propagation (1996) (42)
- Arithmetics of binary quadratic forms, symmetry of their continued fractions and geometry of their de Sitter world (2003) (41)
- On some problems in singularity theory (1981) (41)
- On the number of flattening points on space curves (1995) (40)
- Cardiac arrhythmias and circle mappingsa) (1991) (39)
- Weak asymptotics for the numbers of solutions of diophantine problems (1999) (38)
- From Hilbert's Superposition Problem to Dynamical Systems (2004) (38)
- Cardiac arrhythmias and circle mappings(a)). (1991) (37)
- The growth of a magnetic field in a three-dimensional steady incompressible flow (1983) (34)
- Remarks on singularities of finite codimension in complex dynamical systems (1969) (33)
- Symplectic geometry and topology (2000) (33)
- On the topology of three-dimensional steady flows of an ideal fluid (1966) (30)
- On the differential geometry of infinite-dimensional Lie groups and its application to the hydrodynamics of perfect fluids (1966) (29)
- Conditions for nonlinear stability of plane steady curvilinear flows of an ideal fluid (1965) (29)
- Introduction to perturbation theory (1989) (29)
- NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS (1974) (29)
- Symplectization, Complexification and Mathematical Trinities (1999) (28)
- Newton's principia read 300 years later (1991) (28)
- Singularity Theory II Classification and Applications (1993) (28)
- Remarks on quasicrystallic symmetries (1988) (28)
- On the arrangement of ovals of real plane algebraic curves, involutions of four-dimensional smooth manifolds, and the arithmetic of integral quadratic forms (1971) (27)
- The stability problem and ergodic properties for classical dynamical systems (1968) (26)
- Topological Classification of Morse Functions and Generalisations of Hilbert’s 16-th Problem (2007) (26)
- Dynamical systems. VI, Singularity theory (1993) (25)
- Optimization in Mean and Phase Transitions in Controlled Dynamical Systems (2002) (25)
- Dynamical Systems VII: Integrable Systems Nonholonomic Dynamical Systems (1994) (24)
- Critical Points of Functions (1998) (24)
- On some problems in symplectic topology (1988) (24)
- Topological Problems in Wave Propagation Theory and Topological Economy Principle in Algebraic Geometry (1999) (24)
- Number-Theoretical Turbulence in Fermat–Euler Arithmetics and Large Young Diagrams Geometry Statistics (2005) (23)
- First Steps of Local Symplectic Algebra (1999) (23)
- Geometry and Growth Rate of Frobenius Numbers of Additive Semigroups (2006) (23)
- Arithmetical Turbulence of Selfsimilar Fluctuations Statistics of Large Frobenius Numbers of Additive Semigroups of Integers (2007) (22)
- The Vassiliev Theory of Discriminants and Knots (1994) (22)
- Algebraic unsolvability of the problem of lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations (1970) (21)
- Singularities in variational calculus (1984) (20)
- A Catastrophe Machine (1984) (20)
- Complexity of finite sequences of zeros and ones and geometry of finite spaces of functions (2007) (20)
- Lobachevsky triangle altitudes theorem as the Jacobi identity in the Lie algebra of quadratic forms on symplectic plane (2005) (20)
- Dynamics of Intersections (1990) (20)
- On the interior scattering of waves, defined by hyperbolic variational principles (1988) (20)
- The Topology of Algebra: Combinatorics of Squaring (2003) (19)
- Ergodic and arithmetical properties of geometrical progression's dynamics and of its orbits (2005) (19)
- Classification of bimodal critical points of functions (1974) (19)
- Fermat–Euler Dynamical Systems and the Statistics of Arithmetics of Geometric Progressions (2003) (19)
- Topological Classification of Morse Functions and Generalisations of Hilbert's 16-th Problem (2009) (19)
- BIFURCATIONS AND SINGULARITIES IN MATHEMATICS AND MECHANICS (1989) (19)
- Sur quelques problèmes de la théorie des systèmes dynamiques (1994) (19)
- The complex Lagrangian Grassmannian (2000) (19)
- Dynamics, Statistics and Projective Geometry of Galois Fields (2011) (18)
- Topological classification of real trigonometric polynomials and cyclic serpents polyhedron (1997) (18)
- On the matricial version of Fermat–Euler congruences (2006) (18)
- Orbits' statistics in chaotic dynamical systems (2008) (18)
- The Geometry of A-graded Algebras (1994) (18)
- Smooth functions statistics (2007) (18)
- First Steps of Local Contact Algebra (1999) (18)
- Remarks on the Extatic Points of Plane Curves (1996) (17)
- Remarks on the parabolic curves on surfaces and on the higher-dimensional Möbius-sturm theory (1997) (17)
- The topology of real algebraic curves (1973) (17)
- Astroidal geometry of hypocycloids and the Hessian topology of hyperbolic polynomials (2001) (16)
- Topological content of the Maxwell theorem on multiple representation of spherical functions (1996) (16)
- Topology and statistics of formulae of arithmetics (2003) (16)
- Local problems of analysis (1970) (15)
- SPACES OF LOCALLY CONVEX CURVES IN S AND COMBINATORICS OF THE GROUP B (2012) (15)
- Stochastic and deterministic characteristics of orbits in chaotically looking dynamical systems (2009) (15)
- Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes (2004) (14)
- Bifurcations of caustics and wave fronts (2012) (14)
- Topological properties of eigenoscillations in mathematical physics (2011) (14)
- On the representation of functions of several variables as a superposition of functions of a smaller number of variables (2009) (14)
- Forgotten and neglected theories of Poincaré (2006) (14)
- On the problem of realization of a given Gaussian curvature function (1998) (14)
- Relatives of the Quotient of the Complex Projective Plane by the Complex Conjugation (1999) (13)
- The Arnold-Gelfand Mathematical Seminars (2011) (13)
- Some open problems in the theory of singularities (1983) (13)
- I.G. Petrovskii, Hilbert's topological problems, and modern mathematics (2002) (12)
- Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians (2014) (11)
- Topological Problems of the Theory of Asymptotic Curves (1999) (11)
- Contact structure, relaxation oscillations and singular points of implicit differential equations (1988) (11)
- Continued fractions of square roots of rational numbers and their statistics (2007) (10)
- Singularities of Legendre varieties, of evolvents and of fronts at an obstacle (1982) (9)
- Empirical study of stochasticity for deterministic chaotical dynamics of geometric progressions of residues (2009) (9)
- Geometry of continued fractions associated with Frobenius numbers (2009) (9)
- On a Variational Problem Connected with Phase Transitions of Means in Controllable Dynamical Systems (2002) (9)
- The Double-Layer Potential (2004) (8)
- Vladimir I. Arnold - Collected Works (2009) (8)
- Surfaces defined by hyperbolic equations (1988) (8)
- Opinion: Will mathematics survive? report on the zurich congress (1995) (7)
- The matrix Euler-Fermat theorem (2004) (7)
- Some Algebro-Geometrical Aspects of the Newton Attraction Theory (1983) (7)
- Towards the legendre sturm theory of space curves (1998) (7)
- Statistics of the periods of continued fractions for quadratic irrationals (2008) (6)
- Statistics of Young Diagrams of Cycles of Dynamical Systems for Finite Tori Automorphisms (2006) (6)
- Seventeen Papers on Analysis (1963) (6)
- Steady-state magnetic field in a periodic flow (1982) (6)
- Braids of algebraic functions and the cohomology of swallowtails (1968) (6)
- A mathematical trivium (1991) (6)
- Mathematics and physics: mother and daughter or sisters? (1999) (6)
- Singularities of functions, wave fronts, caustics and multidimensional integrals (2012) (6)
- On cohomology classes of algebraic functions invariant under Tschirnhausen transformations (1970) (6)
- WIGNER’S ‘UNREASONABLE EFFECTIVENESS OF MATHEMATICS’ AS A PHILOSOPHICAL PROBLEM (2017) (6)
- INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES (1979) (6)
- Geometry and dynamics of Galois fields (2004) (6)
- Lagrangian mechanics on manifolds (1989) (6)
- Dynamics, Statistics and Projective Geometry of Galois Fields: Preface (2010) (6)
- The simplest examples (2012) (6)
- Frequent Representations (2004) (5)
- Matrix Fermat theorem, finite circles and finite Lobachevsky plane (2004) (5)
- On a characteristic class arising in quantization conditions (1967) (5)
- Topological classification of trigonometric polynomials related to the affine coxeter group $$\tilde A_2 $$ (2007) (5)
- Mathematics as profession and vocation (2000) (5)
- IVAN GEORGIEVICH PETROVSKII (on his seventieth birthday) (1971) (5)
- Singularity Theory: Critical points of functions on a manifold with boundary, the simple Lie groups BK, CK, and F4, and singularities of evolutes (Volume 33, 1978) (1981) (5)
- Topology and statistics of formulae of arithmetics (2003) (5)
- From Evolvents to Quasicrystals (1990) (4)
- Mathematical Models of Catastrophes. Control of Catastrophic Processes (2006) (4)
- Stationary magnetic field in a periodic flow fluid (1982) (4)
- On the topology of eigenfields (2005) (4)
- Topology and statistics of arithmetic and algebraic formulae (4)
- Lengths of periods of continued fractions of square roots of integers (2009) (4)
- Variational Principles and Methods (2006) (4)
- The antiscientifical revolution and mathematics (1998) (4)
- Limiting behaviour of large Frobenius numbers (2007) (4)
- On one-dimensional cohomology of the Lie algebra of divergence-free vector fields and on rotation numbers of dynamic systems (1969) (4)
- Elements of the large-scale structure of the universe. (1981) (3)
- Complexification of Tetrahedron and Pseudo-Projective Transformations (2001) (3)
- Problems to the Seminar, 2003-2004 (2004) (3)
- Almost sign-preserving trigonometric polynomials (1996) (3)
- The Longest Curves of Given Degree and the Quasicrystallic Harnack Theorem in Pseudoperiodic Topology (2002) (3)
- A correction to: Wave front evolution and equivariant morse lemma (1977) (3)
- Anatolii Moiseevich Vershik (on his sixtieth birthday) (1994) (3)
- A few words on Andrei Nikolaevich Kolmogorov (1988) (3)
- Singularity Theory: On matrices depending on parameters (Volume 26, 1971) (1981) (3)
- Topological classification of morse polynomials (2010) (3)
- Exponential scattering of trajectories and its hydrodynamical applications (1984) (3)
- Remarks on the stationary phase method and Coxeter numbers (Volume 28, 1973) (1981) (3)
- Basic Principles of Classical Mechanics (2006) (3)
- Evolution of a magnetic field under the action of transfer and diffusion (1983) (3)
- Lagrangian Grassmannian of a Quaternion Hypersymplectic Space (2001) (2)
- The Global Theory of Singularities (1998) (2)
- Uniform distribution of non-divisible vectors in an integer space (2009) (2)
- Olga Aleksandrovna Ladyzhenskaya (obituary) (2004) (2)
- 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 (1998) (2)
- Real algebraic geometry (2013) (2)
- To what extent are arithmetic progressions of fractional parts stochastic (2008) (2)
- MATHEMATICAL EVENTS IN THE USSR: Ol'ga Arsen'evna Oleinik (on her sixtieth birthday) (1995) (2)
- Theory of Small Oscillations (1988) (2)
- Singularity Theory: Singularities of smooth mappings (Volume 23, 1968) (1981) (2)
- A magnetic field in a moving conducting fluid (1981) (2)
- Vladimir Mikhailovich Alekseev (obituary) (1981) (2)
- A Renormalization Proof of the Kam Theorem for Non-analytic Perturbations (2007) (2)
- Whitney’s Singularity Theory (1984) (2)
- Quasihomogeneous and semiquasihomogeneous singularities (2012) (2)
- Statistics of the period lengths of the continued fractions for the eigenvalues of the integer matrices of order two (2008) (2)
- About Vladimir Abramovich Rokhlin (2014) (2)
- A remark on the ramification of hyperelliptic integrals as functions of parameters (1968) (2)
- Singularity Theory: Normal forms of functions in neighbourhoods of degenerate critical points (Volume 29, 1974) (1981) (2)
- Nikolai Nikolaevich Nekhoroshev (obituary) (2009) (2)
- Large Scale Distribution of Matter in the Universe (1984) (2)
- Mathematics of Chaos (2010) (2)
- Bifurcations of Equilibria (1994) (2)
- On the Riemann curvature of diffeomorphism groups (1965) (1)
- Pseudoquaternion Geometry (2002) (1)
- Singular Points of Vector Fields in the Real and Complex Planes (1988) (1)
- Vyacheslav Alekseevich Oleinikov (obituary) (1990) (1)
- Complex Euler’s groups and values of Euler’s function at complex integer Gauss points (2011) (1)
- First-Order Partial Differential Equations (1988) (1)
- Differential Equations on Surfaces (1988) (1)
- Algebraic unsolvability of the problem of stability and the problem of the topological classification of the singular points of analytic systems of differential equations (1970) (1)
- Singularities of smooth mappings with additional structures : collected papers (1995) (1)
- Topological methods in the physical sciences [Discussion Meeting Issue. Meeting organised by V. I. Arnold, J. W. Bruce, H. K. Moffatt and R. B. Pelz.] (2001) (1)
- Vladimir Abramovich Rokhlin (obituary) (1986) (1)
- Yakov Borisovich Zel'dovich (Obituary) (1988) (1)
- TOPOLOGICAL COMPLEXITY AND SCHWARZ GENUS OF GENERAL REAL POLYNOMIAL EQUATION (2011) (1)
- On a variational principle for the steady flows of perfect fluids and its application to problems of non-linear stability (1966) (1)
- Boris Valerianovich Chirikov (on his sixtieth birthday) (1988) (1)
- Random and algebraic permutations’ statistics (2009) (1)
- Critical points of smooth functions and their normal forms (Volume 30, 1975) (1981) (1)
- NIKOLAI IVANOVICH MUSKHELISHVILI (on his eightieth birthday) (1972) (1)
- A.N. Kolmogorov and natural science (2004) (1)
- Surveys in Modern Mathematics: The principle of topological economy in algebraic geometry (2005) (1)
- The General Theory for One First-Order Equation (Continued) (2004) (1)
- The proof of the stability theorem (1985) (1)
- A note on the Weierstrass preparation theorem (1967) (1)
- Collected works || uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region (2009) (1)
- What is mathematical physics (2004) (1)
- IVAN GEORGIEVICH PETROVSKII (on his seventieth birthday) (1971) (1)
- Versal families and bifurcations of differential equations (1972) (1)
- A start to the classification of critical points (2012) (1)
- ON THE TOPOLOGY OF COORIENTED WAVE FRONTS IN SPACES OF SMALL DIMENSIONS (2011) (1)
- The geometry of spherical curves and the algebra of quaternions (1995) (1)
- Galina Nikolaevna Tyurina (obituary) (1971) (1)
- Mathematics and Physics (2005) (1)
- THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS TO WHAT EXTENT ARE STOCHASTIC THE ARITHMETICAL PROGRESSIONS OF THE FRACTIONAL PARTS? (2008) (1)
- The classes Σ I (1985) (1)
- Properties of Harmonic Functions (2004) (1)
- Analytic Theory of Differential Equations (1988) (1)
- On the matricial version of Fermat–Euler congruences (2006) (1)
- Sur les propiétés topologiques des projections langrangiennes en géométrie sympletique des caustiques (1995) (1)
- Book-Review - Mathematical Methods of Classical Mechanics (1982) (1)
- Sur les Propriétés Topologiques des Projections Lagrangiennesen Géométrie Sympletique des Caustique (1995) (1)
- Géométrie asroîdale et topologie des polynômes hyperboliques (2001) (1)
- Investigation of the equations of motion (1978) (1)
- A mathematical trivium II (1993) (1)
- Singularities in Optimization Problems, the Maxima Function (1984) (1)
- Surveys in Modern Mathematics: Mysterious mathematical trinities (2005) (1)
- Are quadratic residues random (2010) (1)
- Problems around Polynomials -the Good, the Bad and the Ugly (2015) (1)
- Elements of the theory of Picard-Lefschetz (2012) (1)
- The Mysticism of Catastrophe Theory (1986) (1)
- Nikolai Nikolaevich Chentsov (obituary) (1993) (1)
- Spectral sequences for the reduction to normal forms (2012) (1)
- A magnetic field in a stationary flow with stretching in a Riemannian manifold fluid (1981) (1)
- Selim Grigor'evich Krein (on his 80th birthday) (1997) (1)
- Arnold in his own words (2014) (1)
- Lyudvig Dmitrievich Faddeev (on his sixtieth birthday) (1995) (1)
- What is mathematical physics? (2004) (0)
- The simplest properties of the integrals (2012) (0)
- Errata to V.I. Arnol’d’s paper: “Small denominators. I.” (2009) (0)
- Comments on the paper “On a geometric theorem” by Henri Poincaré (1972) (0)
- Dmitrii Andreevich Gudkov (obituary) (1992) (0)
- The quadratic differential of a map (2012) (0)
- Singularities of Stability Boundaries and the Principle of the Fragility of Good Things (1984) (0)
- Bifurcations of Equilibrium States (1984) (0)
- Applications of the theory of Lagrangian singularities (1990) (0)
- Singularities of the Boundary of Attainability (1986) (0)
- The topology of the non-singular level set and the variation operator of a singularity (2012) (0)
- Loss of Stability of Equilibrium and the Generation of Auto-Oscillations (1984) (0)
- Monodromy Groups of Critical Points (1998) (0)
- Singularities of caustics and Sturm theory (1994) (0)
- Dynamics, Statistics and Projective Geometry of Galois Fields: Equipartition of geometric progressions along a finite one-dimensional torus (2010) (0)
- The local multiplicity of a holomorphic map (2012) (0)
- Discussion of results (2012) (0)
- Symplectic and Contact Geometries (1984) (0)
- Basic Properties of Maps (1998) (0)
- Singularities, Bifurcations, and Catastrophe Theories (1984) (0)
- Lists of singularities (2012) (0)
- Integrable Systems and Integration Methods (2006) (0)
- Dynamics, Statistics and Projective Geometry of Galois Fields: Cubic field tables (2010) (0)
- Stability and infinitesimal stability (2012) (0)
- The Theory of Oscillations. The Variational Principle (2004) (0)
- The Fundamental Solution for the Laplacian. Potentials (2004) (0)
- Asymptotics and Newton polyhedra (2012) (0)
- The Fourier Method (for the Vibrating String) (2004) (0)
- The singular index, examples (2012) (0)
- Euler ’ s groups of powers of prime complex integers (2014) (0)
- Review of further results (2012) (0)
- ’ s Chord Conjecture (1999) (0)
- The classification of Lagrangian and Legendrian singularities (2012) (0)
- Henri Poincaré: Selected Works in Three Volumes. Vol. I New Methods of Celestial Mechanics - Preface. From the editorial board. Comments (1971) (0)
- Stability and instability of dynamic systems with many degrees of freedom (1968) (0)
- Dmitrii Viktorovich Anosov (on his 60th birthday) (1997) (0)
- THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS TOPOLOGICAL CLASSIFICATION OF TRIGONOMETRIC POLYNOMIALS RELATED TO AFFINE COXETER GROUP Ã2 (2006) (0)
- Gibbs phenomenon for Fourier series on finite sets (2010) (0)
- Dynamics, Statistics and Projective Geometry of Galois Fields: Chaos and randomness in Galois field tables (2010) (0)
- The mixed Hodge structure of an isolated critical point of a holomorphic function (2012) (0)
- Applications of Whitney’s Theory (1984) (0)
- Problems to the Seminar: 15 January 2002 (2002) (0)
- The school mathematics circle at Moscow State University: harmonic functions (2009) (0)
- The organisation and tabulation of Galois fields (2010) (0)
- Problems of By-Passing Obstacles (1984) (0)
- Lagrangian and Legendre topology (1990) (0)
- Olga Arsenievna Oleinik (on her 70th birthday) (1997) (0)
- Stability and instability in classical mechanics (2009) (0)
- The mathematics workshop for schools at Moscow State University (2009) (0)
- Tensor Invariants of Equations of Dynamics (2006) (0)
- Symplectic and Contact Geometry (1986) (0)
- Appendix I.pmd (2003) (0)
- Viktor Iosifovich Yudovich (obituary) (2007) (0)
- Singularities of Accessibility Boundaries (1984) (0)
- Spherical Functions. Maxwell’s Theorem. The Removable Singularities Theorem (2004) (0)
- Foundations of Mechanics; Mathematical Methods of Classical Mechanics; and Classical Dynamical Systems (1980) (0)
- Review: Shlomo Sternberg, Celestial Mechanics. I, II (1972) (0)
- Adiabatic study of the distribution of geometric progressions of residues (2010) (0)
- The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectrum of a critical point (2012) (0)
- Translator’s Preface to J. Milnor’s book ″Morse Theory″ (1965) (0)
- Complex oscillatory integrals (2012) (0)
- A Problem for School Pupils (2013) (0)
- Dynamics, Statistics and Projective Geometry of Galois Fields: Projective structures generated by a Galois field (2010) (0)
- The period map and the intersection form (2012) (0)
- The Mystics of Catastrophe Theory (1984) (0)
- Dmitrii Evgen'evich Okhotsimskii (obituary) (2006) (0)
- The bifurcation sets and the monodromy group of a singularity (2012) (0)
- The determinator of singularities (2012) (0)
- 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) (1981) (0)
- The Theory of Oscillations. The Variational Principle (Continued) (2004) (0)
- Geometry of Conic Sections (2013) (0)
- The Vibrating String (d’Alembert’s Method) (2004) (0)
- Periods and Young’s diagram of Fermat–Euler’s geometrical progressions of residues (2010) (0)
- What is a Galois field (2010) (0)
- Convolution of invariants, and period maps (1990) (0)
- The classification of stable germs by genotype (2012) (0)
- Vladimir Mikhailovich Tikhomirov (on his 70th birthday) (2006) (0)
- The intersection matrices of singularities of functions of two variables (2012) (0)
- Caustics, Wave Fronts, and Their Metamorphoses (1984) (0)
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences: 359 (1784) (2001) (0)
- 1 Fermat-Euler statistics and number-theoretic turbulence (0)
- Loss of Stability of Equilibrium and of Self-Oscillating Modes of Behaviour (1986) (0)
- The Physics of Conic Sections and Ellipsoids (2013) (0)
- Geometry of Distributions (1994) (0)
- The local algebra of a map and the Weierstrass preparation theorem (2012) (0)
- Non-Integrable Systems (2006) (0)
- Local Bifurcation Theory (1988) (0)
- Projections of surfaces, and singularities of apparent contours (1990) (0)
- The Problem of Bypassing an Obstacle (1986) (0)
- Huygens’ Principle in the Theory of Wave Propagation (2004) (0)
- Emmanuil El'evich Shnol' (on his 70th birthday) (1999) (0)
- Symmetry Groups and Reduction (Lowering the Order) (1988) (0)
- Symmetry Groups and Order Reduction (2006) (0)
- Mikhail Vasil'evich Fedoryuk (obituary) (1991) (0)
- Smooth Surfaces and Their Projections (1984) (0)
- Remarks on the behaviour of flow of a three-dimensional perfect fluid in the presence of a small perturbation of the initial velocity field (1972) (0)
- The General Theory for One First-Order Equation (2004) (0)
- The classes \( \sum^{I} \) (2012) (0)
- Transformation of waves defined by hyperbolic variational principles (1990) (0)
- GEVREY-SMOOTHNESS OF INVARIANT TORI FOR NEARLY INTEGRABLE SIMPLECTIC MAPPINGS (2017) (0)
- Mathematical models and control of catastrophic processes (2005) (0)
- ELEMENTARY NOTIONS OF LATTICE TRIGONOMETRY (2008) (0)
- Boundary-Value Problems for Laplace’s Equation. Theory of Linear Equations and Systems (2004) (0)
- Elementary integrals and the resolution of singularities of the phase (2012) (0)
- Integrals and differential equations (2012) (0)
- The intersection forms of boundary singularities and the topology of complete intersections (2012) (0)
- THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS SMOOTH FUNCTIONS STATISTICS (2006) (0)
- About the Symposium, Foreword, Contents (1999) (0)
- Topologically Necessary Singularities on Moving Wavefronts and Caustics (1999) (0)
- The n-Body Problem (1988) (0)
- On additive semigroups starting parts (2008) (0)
- Catastrophe theory (2nd revised and enlarged edition) (1983) (0)
- Singularities of wave fronts and the tennis ball theorem (1994) (0)
- The classification of quasihomogeneous functions (2012) (0)
- Yurii Alekseevich Mitropol'skii (on his 90th birthday) (2007) (0)
- Perturbation Theory for Integrable Systems (1988) (0)
- Singular Points of Differential Equations in Higher Dimensional Complex Phase Space (1988) (0)
- Real, symmetric and boundary singularities (2012) (0)
- Points critiques des fonctions sur les variétés à bord, groupes de Lie simples B[k], C[k], F[4] et singularités des volutes . Corps de classe et K-théorie algébrique . Surfaces supersingulières de type K3 sur un corps de caractéristique 2 (1978) (0)
- Indice d'un point singulier d'un champ de vecteurs, inégalité de Petrovski-Oleinik et structure de Hodge mixte . Fibrés algébriques sur ρ[n] et problèmes d'algèbre linéaire . Faisceaux cohérents su ρ[n] et problèmes d'algèbre linéaire (1978) (0)
- A mathematical trivium (1991) (0)
- SINGULARITIES OF SMOOTH MAPPINGS (1968) (0)
- Anatolii Moiseevich Vershik (on his sixtieth birthday) (1994) (0)
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS (1963) (0)
- REMARKS ON THE STATIONARY PHASE METHOD AND COXETER NUMBERS (1973) (0)
- LECTURES ON BIFURCATIONS IN VERSAL FAMILIES (1972) (0)
- Some unsolved problems in the theory of differential equations and mathematical physics (1989) (0)
- The matrix Euler-Fermat theorem (2004) (0)
- Dmitrii Andreevich Gudkov (on his seventieth birthday) (1989) (0)
- Vladimir Mikhailovich Alekseev (obituary) (1981) (0)
- Dmitrii Evgen'evich Okhotsimskii (obituary) (2006) (0)
- Astroidal geometry of hypocycloids and the Hessian topology of hyperbolic polynomials (2001) (0)
- Viktor Iosifovich Yudovich (obituary) (2007) (0)
- Mathematics and physics: mother and daughter or sisters? (1999) (0)
- ERRATA Russian Mathematical Surveys, Vol. 34, No. 2. (1979) (0)
- Singularities of systems of rays (1983) (0)
- A.N. Kolmogorov and natural science (2004) (0)
- Emmanuil El'evich Shnol' (on his 70th birthday) (1999) (0)
- Dmitrii Viktorovich Anosov (on his 60th birthday) (1997) (0)
- Vladimir Mikhailovich Tikhomirov (on his 70th birthday) (2006) (0)
- Vyacheslav Alekseevich Oleinikov (obituary) (1990) (0)
- NIKOLAI IVANOVICH MUSKHELISHVILI (on his eightieth birthday) (1972) (0)
- Nikolai Nikolaevich Nekhoroshev (obituary) (2009) (0)
- Lyudvig Dmitrievich Faddeev (on his sixtieth birthday) (1995) (0)
- On teaching mathematics (1998) (0)
- Dmitrii Andreevich Gudkov (obituary) (1992) (0)
- Nikolai Nikolaevich Chentsov (obituary) (1993) (0)
- A mathematical trivium II (1993) (0)
- Vladimir Abramovich Rokhlin (obituary) (1986) (0)
- Geometry and dynamics of Galois fields (2004) (0)
- A few words on Andrei Nikolaevich Kolmogorov (1988) (0)
- Mikhail Vasil'evich Fedoryuk (obituary) (1991) (0)
- Galina Nikolaevna Tyurina (obituary) (1971) (0)
- Olga Aleksandrovna Ladyzhenskaya (obituary) (2004) (0)
- The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups (1992) (0)
- Selim Grigor'evich Krein (on his 80th birthday) (1997) (0)
- Yurii Alekseevich Mitropol'skii (on his 90th birthday) (2007) (0)
- Forgotten and neglected theories of Poincaré (2006) (0)
- Dmitrii Andreevich Gudkov (on his seventieth birthday) (1989) (0)

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