Contents

Vestnik St. Petersburg University, Mathematics


Vol. 52, No. 3, 2019


Mathematics

On Asymptotic Normality in One Generalization of the Renyi Problem

S. M. Ananjevskii and N. A. Kryukov p. 227  abstract

On the Liouville Phenomenon in Estimates of Fractal Dimensions of Forced Quasi-Periodic Oscillations

M. M. Anikushin p. 234  abstract

Invariant Surfaces of Periodic Systems with Conservative Cubic First Approximation

V. V. Basov and A. S. Zhukov p. 244  abstract

Stability of the Equilibrium of an Oscillator with an Infinitely High Natural Oscillation Frequency

Yu. N. Bibikov and V. R. Bukaty p. 259  abstract

A Proof of the Correctness of an Algorithm Improving the Estimate of the Rate of Convergence of the Seidel Method

A. N. Borzykh p. 263  abstract

Monte Carlo Method for Solving ODE Systems

S. M. Ermakov and T. M. Tovstik p. 272  abstract

Sharkovskii’s Ordering and Estimates of the Number of Periodic Trajectories of Given Period of a Self-Map of an Interval

O. A. Ivanov p. 281  abstract

Polynomial Equivalence of the Problems “Predicate Formulas Isomorphism and Graph Isomorphism”

T. M. Kosovskaya and N. N. Kosovskii p. 286  abstract

Solving a Tropical Optimization Problem with Application to Optimal Scheduling

N. K. Krivulin and U. L. Basko p. 293  abstract


Mechanics

Dynamics of a Statically Unbalanced Rotor with an Elliptic Automatic Ball Balancer

V. G. Bykov and A. S. Kovachev p. 301  abstract

The Basin of Attraction in the Generalized Kapitsa Problem

D. B. Kulizhnikov, P. E. Tovstik and T. P. Tovstik p. 309  abstract


Astronomy

On Local Normability of Spaces of Keplerian Orbits

D. V. Milanov p. 317  abstract