Contents

Vestnik St. Petersburg University, Mathematics

Vol. 57, No. 2, 2024

To the 300th Anniversary of SPbU

Review of Research on the Qualitative Theory of Differential Equations at St. Petersburg University. I. Stable Periodic Points of Diffeomorphisms with Homoclinic Points and Systems with Weakly Hyperbolic Invariant Sets

N. A. Begun, E. V. Vasil’eva, T. E. Zvyagintseva and Yu. A. Iljin p. 141  abstract

Astronomical Research at the Mathematics Faculty of St. Petersburg University, I

M. S. Prokopjeva, H. A. Krayani and V. B. Il’in p. 152  abstract

Rigid-Body Dynamics from the Euler Equations to the Attitude Control of Spacecraft in the Works of Scientists from St. Petersburg State University. Part 2

A. A. Tikhonov p. 171  abstract

Mathematics

Solution of the Local-Boundary-Value Problem of Control for a Nonlinear Stationary System Taking into Account Computer System Verification

A. N. Kvitko and N. N. Litvinov p. 202  abstract

Determination of Discontinuity Points and the Jump Magnitude of the Original Based on Its Laplace Image

A. V. Lebedeva and V. M. Ryabov p. 213  abstract

Extremal Problems of Turán-type Involving the Location of All Zeros of a Class of Rational Functions

M. Y. Mir, S. L. Wali and W. M. Shah p. 219  abstract

Mechanics

Regression Models for Calculating State-to-State Coefficients of the Rate of Vibrational Energy Exchanges

A. A. Isakov, V. I. Gorikhovskii and M. Yu. Melnik p. 226  abstract

On the Integrability in Quadratures of the Problem of Rolling a Heavy Homogeneous Ball on a Surface of Revolution of the Second Order

A. S. Kuleshov and A. A. Shishkov p. 236  abstract

Gyroscopically Coupled In-Plane and Out-of-Plane Vibrations of Rotating Hollow Circular Plate: Case of In-Plane Axis of Rotation

N. F. Morozov, A. V. Lukin and I. A. Popov p. 241  abstract

Dynamics of a Double Pendulum with Viscous Friction at the Hinges. I. Mathematical Model of Motion and Construction of the Regime Diagram

A. S. Smirnov and I. A. Kravchinskiy p. 254  abstract

Astronomy

On the Approximation of the Attraction Field of a Rigid Body by the Attraction Field of Four Material Points of the Same Mass

A. A. Burov, E. A. Nikonova and V. I. Nikonov p. 263  abstract