VESTNIK OF SAINT PETERSBURG UNIVERSITY
MATHEMATICS. MECHANICS. ASTRONOMY

Volume 6(64), Issue 3, 2019

Contents Pages
MATHEMATICS
1 On asymptotic normality in one generalization of the Renyi problem
Ananjevskii S.M., Kryukov N.A.
353-362
2 On the Liouville phenomenon in estimates of fractal dimensions of forced quasi-periodic oscillations
Anikushin M.M.
363-375
3 Invariant surfaces of periodic systems with conservative cubic first approximation
Basov V.V., Zhukov A.S.
376-393
4 On the stability of the state of equilibrium of an oscillator with infinitely great frequency of proper oscillations
Bibikov Yu.N., Bukaty V.R.
394-398
5 Proof of correctness of an algorithm that enhances the estimate of the rate of Seidel method convergence
Borzykh A.N.
399-410
6 Monte Carlo method for solution of systems ODE
Ermakov S.M., Tovstik T.M.
411-421
7 Sharkovskiis ordering and estimates for the number of periodical trajectories of the given period for a self-map of an interval
Ivanov O.A.
422-429
8 Polynomial equivalence of the problems PREDICATE FORMULAS ISOMORPHISM AND GRAPH ISOMORPHISM
Kosovskaya T.M., Kosovskii N.N.
430-439
9 Solving a tropical optimization problem with application to optimal scheduling
Krivulin N.K., Basko U.L.
440-451
MECHANICS
10 Dynamics of a statically unbalanced rotor with an elliptic automatic ball balancer
Bykov V.G., Kovachev A.S.
452-462
11 Comparison of two modified point-mass trajectory models of an artillery shell
Konosevich B.I., Konosevich Yu.B.
463-481
12 The attraction basin in the generalized Kapitsas problem
Kulizhnikov D.B., Tovstik P.E., Tovstik T.P.
482-492
13 The exhibits of the historical collection at the Faculty of Mathematics and Mechanics of St. Petersburg State University
Kuteeva G.A., Sinilshchikova G.A., Trifonenko B.V.
493-504
ASTRONOMY
14 On local normability of spaces of Keplerian orbits
Milanov D.V.
505-518
CHRONICLE
15 On anniversary of Irina Efremovna Zuber
519-520
16 In memoriam of Gennadii Tikhonovich Aldoshin
521-522
17 In memoriam of Viktor Sergeevich Novoselov
523-524
18 In memoriam of Viktor Aleksandrovich Pliss
525-527