Geodesic

Sommaire du Fascicule no. 1

Object search. Dynamics. Geometry. Graphics
p. 3-34
Vanishing theorems in affine, Riemannian, and Lorenz geometries
p. 35-84
Two-dimensional pseudo-Riemannian metrics reconstructed by a~given curvature
p. 85-92
On the geometric interpretation of solutions of a~system generalizing the sine-Gordon equation
p. 93-139
K\"ahler geometry of hyperbolic type on the manifold of nondegenerate $m$-pairs
p. 141-158
Associative homotopy Lie algebras and Wronskians
p. 159-180
On the solution of Toda systems associated with simple Lie algebras
p. 181-193
On $W$-geometry of Toda systems
p. 195-203
Geodesics of a~two-dimensional pseudo-Riemannian metric and accuracy control of numerical simulations of geodesics
p. 205-209
On the formulation of initial-value problems for systems consisting of relativistic particles
p. 211-226
Pseudospherical surfaces and some problems of mathematical physics
p. 227-239
On the possibility of exact reciprocal transformations for one-soliton solutions to equations of the Lobachevsky class
p. 241-246
A differential-geometric criterion of the kinematic integrability of nonlinear differential equations
p. 247-254
On the multiply connectedness of level lines $m\pi$ of $n$-soliton solutions of the sine-Gordon equation
p. 255-263
On infinite polygons of the Lobachevsky plane
p. 265-269

Sommaire du Fascicule no. 2

Automorphisms of the semigroup of invertible matrices with nonnegative elements
p. 3-23
Prime numbers of bad reduction for dessins of genus~0
p. 25-43
On the wedge product and coprime coalgebras
p. 45-49
Modules and comodules for corings
p. 51-72
Action-type axiomatizable classes of group representations
p. 73-85
Extremal problems for linear functionals on the Tchebycheff spaces
p. 87-100
Construction of the syzygy module in automaton monomial algebras
p. 101-113
On relatively aspherical presentations and their central extensions
p. 115-125
On difficult problems and locally graded groups
p. 127-133
Steinberg unitary Lie conformal algebras
p. 135-155
Representations of quantum orders
p. 157-167
On nonrational divisors over non-Gorenstein terminal singularities
p. 169-184
The quantum double of the Yangian of the Lie superalgebra $A(m,n)$ and computation of the universal $R$-matrix
p. 185-208
On strongly real elements of finite groups
p. 209-218
On some extensions of $p$-restricted completely splittable $\mathrm{GL}(n)$-modules
p. 219-226

Sommaire du Fascicule no. 3

Group algebras in which complements are summands
p. 3-11
Profinite groups associated with weakly primitive substitutions
p. 13-48
A criterion for structural stability of quadruples of matrices related to singular linear systems
p. 49-56
Zinbiel algebras under $q$-commutator
p. 57-78
Factorization of loop algebras over $\mathrm{so}(4)$ and integrable nonlinear differential equations
p. 79-94
A~homomorphism of the group $\operatorname{GL}_2(R)$
p. 95-108
An analogue of McKenzie's theorem for topology lattices of finite algebras
p. 109-117
On a~problem from the Kourovka Notebook
p. 119-125
Ring geometries and their lattices
p. 127-137
Inversion of matrices over a~pseudocomplemented lattice
p. 139-154
Groups of order 24 and their endomorphism semigroups
p. 155-172
Infinite rank representations of orders in nonsemisimple algebras, and module categories
p. 173-187
Nil-algebras and infinite groups
p. 189-200
Pseudorational rank of a~quotient divisible group
p. 201-213
Quivers of semi-maximal rings
p. 215-223

Sommaire du Fascicule no. 4

Nonpolyhedral proof of the Michael finite-dimensional selection theorem
p. 3-22
On presentations of generalizations of braids with few generators
p. 23-32
The genus of $G$-spaces and topological lower bounds for chromatic numbers of hypergraphs
p. 33-48
On the convergence of solutions of regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem
p. 49-63
On the two-point boundary-value problem for equations of geodesics
p. 65-70
Geometric topology of generalized $3$-manifolds
p. 71-84
Solvable Lie algebras, products by generators, and some of its applications
p. 85-94
Properly 3-realizable groups
p. 95-103
Geometry of Euclidean tetrahedra and knot invariants
p. 105-117
Knot theory and the Casson invariant in Artin presentation theory
p. 119-126
The Khovanov complex for virtual links
p. 127-152
Structure sets of triples of manifolds
p. 153-172
Degree-one maps of Seifert manifolds into the Poincar\'e homology sphere
p. 173-183
Complete topological invariants of Morse--Smale flows and handle decompositions of 3-manifolds
p. 185-196
The algorithm of finding planar surfaces in three-manifolds
p. 197-202
Wild tiles in $\mathbb R^3$ with spherical boundaries
p. 203-211
Reductions between meager ideals
p. 213-219
Solving four-dimensional surgery problems using controlled theory
p. 221-236
On multivalued topologies on $L$-powersets of multivalued sets
p. 237-247

Sommaire du Fascicule no. 5

Arrow-diagram formulas for fourth-order invariants of knots
p. 3-17
New topological models for Banach--Mazur compacta
p. 19-31
Configuration spaces of $n$~lines in affine $(n+k)$-space
p. 33-45
A bound for the topological entropy of homeomorphisms of a~punctured two-dimensional disk
p. 47-55
On the colored Jones polynomial and the Kashaev invariant
p. 57-78
Partition of Euclidean space into polyhedra induced by a~small deformation of the densest lattice sphere packing
p. 79-84
Estimates of sums of zero multiplicities for eigenfunctions of the Laplace--Beltrami operator
p. 85-90
Classification of Heegaard diagrams of genus three
p. 91-97
On $\mathrm{SL}(3,\mathbb{R})$-actions on $4$-spheres
p. 99-105
A~new proof of the Herbert multiple-point formula
p. 107-116
Theory of spectral sequences. II
p. 117-149
Pure mathematics and physical reality (continuity and computability)
p. 151-168
Implicit functional and eigenvalue problems
p. 169-186
Random packings by cubes
p. 187-196
Semifree actions on spheres
p. 197-207
A~topological version of the argument principle and Rouche's theorem
p. 209-223
Resolvability of Lindel\"of spaces
p. 225-231
Some remarks on nonstandard theory of classes
p. 233-255
To the Markov theorem on algorithmic nonrecognizability of manifolds
p. 257-259

Sommaire du Fascicule no. 6

Andrei Borisovich Shidlovskii (on the occasion of his ninetieth birthday)
p. 3-7
The lower bound for the number of local minima of integral lattices
p. 9-14
Estimate for dispersion of lengths of continued fractions
p. 15-26
Certain arithmetic properties of coefficients of Kummer's function
p. 27-32
On the weakened Siegel's conjecture
p. 33-39
Properties of coefficients of certain linear forms in generalized polylogarithms
p. 41-58
An elementary proof of the irrationality of Tschakaloff series
p. 59-64
On values of hypergeometric functions with different irrational parameters
p. 65-72
Algebraic points on the plain
p. 73-80
Bounds for exponential sums modulo~$p^2$
p. 81-94
On arithmetic properties of values of theta-constants
p. 95-122
Asymptotic distribution of classes of positive binary quadratic forms with conditions of the divisibility of coefficients
p. 123-130
Colorings of spaces, and random graphs
p. 131-141
On multiple integrals represented as a~linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$
p. 143-178
Estimates for polynomials in logarithms of some rational numbers
p. 179-194
On Gauss--Kuz'min statistics for finite continued fractions
p. 195-208
On a~measure of algebraic independence of values of Jacobi elliptic functions
p. 209-219
Siegel--Shidlovsky method in $p$-adic domain
p. 221-230

Sommaire du Fascicule no. 7

Editors' preface
Approximate mathematical modelling of motions
p. 5-9
On skidding of a~wheeled vehicle when one of the wheels blocks or slips
p. 11-20
On applicability limits of Zhukovsky's model for the gliding flight
p. 21-33
An analytical formula for an elastic thin rod shape under composite loading
p. 35-42
Phenomenological model of interaction of plate with a~flow
p. 43-62
On bolide flight modelling
p. 63-71
Stability of rotation of a~vane in a~flow
p. 73-95
Stabilization of a~platform under wind loads
p. 97-115
Nonholonomic mechanical systems and stabilization of motion
p. 117-158
Determination of instrument errors for inertial navigation system on a stationary base
p. 159-166
Accuracy analysis of airborne gravity when gravimeter parameters are identified in flight
p. 167-180
Satellite navigation. Raw data processing for geophysical applications
p. 181-196
Algorithms of motion planning for a~six-legged walking machine
p. 197-206
A~mathematical model of the response of semicircular canal and otolith to vestibular system rotation under gravity
p. 207-220

Sommaire du Fascicule no. 8

Editors' preface
Virtual quadruped: mechanical design, control, simulation, and experimentation
p. 5-28
Motion control of mobile wheeled robots
p. 29-80
Neuron networks in mechatronics
p. 81-103
Singular sets and dynamic properties of bilinear control systems
p. 105-117
Observability with bearing-only observations and smoothness of attainable set
p. 119-130
On some problems in geometric games theory
p. 131-137
Optimization of the proportional navigation law with time delay
p. 139-147
Single-axis vibratory gyroscope
p. 149-163
Accuracy testing of control for an astronaut saver
p. 165-174
Three-neuron model of compensatory eye-movements in response to vestibular stimulation
p. 175-193
Experimental studying and mathematic modeling of vestibular nystagmus in healthy people and in patients with cerebral spastic infantile paralysis
p. 195-204
A~mathematical model of information transfer in the ribbon synapses
p. 205-221