1 Modes
and Quasimodes.- 2 Integrals of Rapidly
Oscillating Functions and Singularities of Projections of Lagrangian Manifolds.-
3 Remarks on the Stationary Phase Method
and Coxeter Numbers.- 4 Normal Forms of
Functions near Degenerate Critical Points, the Weyl Groups
A
k
,
D
k
,
E
k
, and Lagrangian
Singularities.- 5 Normal Forms of
Functions in Neighbourhoods of Degenerate Critical Points.- 6 Critical Points of Functions and
Classification of Caustics.- 7
Classification of Unimodal Critical Points of Functions
.-
8
Classification of Bimodal Critical Points of Functions
.-
9
Spectral Sequence for Reduction of Functions to Normal Form
.-
10
Spectral Sequences for Reducing Functions to Normal Forms
.-
11
Critical Points of Smooth Functions and Their Normal Forms
.-
12 Local
Normal Forms of Functions
.-
13 Some Open Problemsin Singularity Theory
.-
14 On the Theory of Envelopes
.-
15 Wave
Front Evolution and Equivariant Morse Lemma
.-
16 A Correction to: Wave Front
Evolution and Equivariant Morse Lemma
.-
17 A Conjecture on the Signature
of the Quadratic Form of a Quasihomogeneous Singularity
.-
18 On
Contemporary Developments of I.G. Petrovskii's Works on Topology of Real
Algebraic Varieties .- 19 Topology of Real Algebraic Varieties (with O.A. Oleinik).- 20 Bifurcations of Invariant Manifolds of
Differential Equations and Normal Forms of Neighborhoods of Elliptic Curves
.-
21 Loss of Stability of Self-Oscillations Close
to Resonances and Versal Deformations of Equivariant Vector Fields
.-
22 Some Problems in the Theory of Differential
Equations
.-
23 Bifurcations of Discrete Dynamical Systems
(with A.P. Shapiro)
.-
24 Index
of a Singular Point of a Vector Field, the Petrovskii-OleinikInequality, and
Mixed Hodge Structures (in Russian)
.-
25 Index of a Singular Point of a Vector Field,
the Petrovskii-Oleinik Inequalities, and Mixed Hodge Structures
.-
26
Critical Points of Functions on a Manifold with Boundary, the Simple Lie
Groups
B
k
,
C
k
, and
F
4
, and Singularities of Evolutes
.-
27
Indices of Singular Points of 1-Forms on a Manifold with Boundary,
Convolution of Invariants of Reflection Groups, and Singular Projections of
Smooth Surfaces
.-
28 Stable Oscillations with Potential Energy
Harmonic in Space and Periodic in Time
.-
29 The Loss of Stability of Self-Induced
Oscillations near Resonances
.-
30 Catastrophe Theory
.-
31
Superposition of Algebraic Functions (with G. Shimura)
.-
32 The
A
-
D
-
E
Classifications
.-
33 Real
Algebraic Geometry (the 16th Hilbert Problem)
.-
34 Study of Singularities.- 35 Dynamical Systems and Differential Equations.-
36 Fixed Points of Symplectic
Diffeomorphisms.- 37 Partial
Differential Equations: What Is a Mathematical Equivalent to Physical
”Turbulence“?
.-
38
The Beginning of a New Style in the Scientific Literature (a Review of
V.V. Beletsky's Book "Essays on the Motion of Celestial Bodies",
Moscow: Nauka Publishing House, 1972) (with Ya.B. Zeldovich)
.-
39 On
the First All-Union Mathematical Student Olympiad (with A.A. Kirillov, V.M. Tikhomirov, and M.A.
Shubin)
.-
40 A Regional Mathematical School in Syktyvkar
(with A.M. Vershik, D.B. Fuks, and Ya.M. Eliashberg) (in Russian)
.-
41 Kolmogorov’s
School.- 42 Preface to the
Collection “Singularities of Differentiable Mappings” of Russian Translations
of Papers in English and French
.-
43 Preface to the Russian Translation of the
Book “Introduction à l’étude topologique des singularités de Landau” by F. Pham
.-
44 Preface to the Russian Translation of the Book “Singular Points of
Complex Hypersurfaces” by J. Milnor
.-
45 Preface to the Russian Translation of the
Book “Differentiable Germs and Catastrophes” by Th. Bröcker and L. Lander
.-
46
Preface to the Russian Translation of the Book “Stable Mappings and
Their Singularities” by M. Golubitsky and V. Guillemin
.
