Contents

Moscow University Mathematics Bulletin


Vol. 80, No. 2, 2025


Billiard Implementation of Non-Bott Singularities of Integrable Hamiltonian Systems Having at Most One Special Layer of the Seifert Fiber Space

A. A. Kuznetsova p. 81  abstract

Estimates of Multiplicities of Irreducible Multitours of Some Binary Trees

O. S. Shcherbakov p. 89  abstract

An Elliptic Billiard with the Cosine Law of Refraction at Confocal Quadrics

M. A. Nikulin p. 97  abstract

An Operator Model of the Benard Problem and Its Spectral Analysis

G. A. Agafonkin, N. N. Nefedov, and I. A. Sheipak p. 106  abstract

Isothermal Coordinate System on Surfaces of Revolution

I. Kh. Sabitov p. 113  abstract

Examples of Differential Systems with Contrasting Combinations of Radial Stability and Instability

A. A. Bondarev p. 121  abstract

On the Ergodicity of a Dynamical System Related to the Distribution of Fractional Parts of a Polynomial of Several Variables

I. P. Mihaylov p. 130  abstract

On the Complexity of One System of Linear Boolean Functions

A. V. Chashkin p. 133  abstract

Trajectory Invariants of Noncompact Integrable Systems with Two Degrees of Freedom

G. V. Belozerov, and A. T. Fomenko p. 136  abstract

Radial Stability and Instability of a Differential System

I. N. Sergeev p. 142  abstract

A Criterion of Expressibility of CPL Functions in Generalized Bases

V. G. Shishlyakov p. 148  abstract