VESTNIK OF SAINT PETERSBURG UNIVERSITY
MATHEMATICS. MECHANICS. ASTRONOMY

Volume 4(62), Issue 2, 2017

Contents Pages
MATHEMATICS
1 Two-dimensional homogeneous cubic systems: classification and normal forms - III
Basov V.V., Chermnykh A.S.
179-192
2 To the question of stability of periodic points of three-dimensional diffeomorphisms
Vasilieva E.V.
193-200
3 Hilbert pairing on Lorentz formal group
Vostokov S.V., Pital’ P.N.
201-207
4 T - optimal designs for discrimination between rational and polynomial models
Guchenko R.A., Melas V.B.
208-219
5 Towards the analysis of the simulated annealing method in the multiextremal case
Ermakov S.M., Kulikov D.V., Leora S.N.
220-226
6 Conditions for the global stability of a single system with hysteresis nonlinearity
Zviagitceva T.E., Pliss V.A.
227-235
7 NP-complete problems for systems of divisibilities of values of linear polynomials
Kosovskii N.K., Kosovskaya T.M., Kosovskii N.N., Starchak M.R.
236-246
8 Pseudo-poissonian processes with stochastic intensity and a class of processes which generalize the Ornstein-Uhlenbeck process
Rusakov O.V.
247-257
MECHANICS
9 Aging and fracture of compressible elastic-viscous media
Arutyunyan A.R., Arutyunyan R.A.
258-265
10 Stability loss of an infinite plate with a circular inclusion under uniaxial tension
Bauer S.M., Kashtanova S.V., Morozov N. F., Semenov B.N.
266-272
11 Equilibrium composition and physical and chemical characteristics of high-temperature air mixtures with diverse densities
Bogdanova N.V., Rydalevskaya M.A.
273-280
12 Correlation between properties of eigenfrequencies and eigenmodes in a chain of rigid bodies with inertialess moment connections
Indeitsev D.A., Sergeev A.D.
281-290
13 Nonexistence of liouvillian solutions in the problem of motion of a rotationally symmetric ellipsoid on a perfectly rough plane
Kuleshov A. S., Itskovich M.O.
291-299
14 Workspaces of a Steward’s platform in the 6D space of generalised coordinates
Leonov G.A., Tovstik P. E., Tovstik T.M.
300-309
15 Spatially homogeneous relaxation of CO molecules with resonant VE transitions
Mishina A. I., Kustova E.V.
310-322
16 Long-wave vibrations and waves in anisotropic beam
Tovstik P. E., Tovstik T. P., Naumova N.V.
323-335
ASTRONOMY
17 Surfaces of minimal energy and their singular points in the problem of stellar approaches toward the solar system
Mammadli A.H.
336-344
CHRONICLE
18 Sergey Vasiljevich Vallander. By the 100th anniversary of his birth
345-354