Contents

Regular and Chaotic Dynamics


Vol. 28, No. 1, 2023


The Eighth International Conference GEOMETRY, DYNAMICS, INTEGRABLE SYSTEMS — GDIS 2022 Dedicated to the Memory of Alexey V. Borisov June 5–11, 2022, Zlatibor, Serbia

p. 1  abstract

Quasiperiodic Version of Gordon’s Theorem

Sergey V. Bolotin, and Dmitry V. Treschev p. 5  abstract

Billiards Within Ellipsoids in the \(4\)-Dimensional Pseudo-Euclidean Spaces

Vladimir Dragović, and Milena Radnović p. 14  abstract

Integrable Systems Associated to the Filtrations of Lie Algebras

Božidar Jovanović, Tijana Šukilović, and Srdjan Vukmirović p. 44  abstract

Spherical and Planar Ball Bearings — a Study of Integrable Cases

Vladimir Dragović, Borislav Gajić, and Božidar Jovanović p. 62  abstract

Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint

Alexander A. Kilin, and Elena N. Pivovarova p. 78  abstract

Roller Racer with Varying Gyrostatic Momentum: Acceleration Criterion and Strange Attractors

Ivan A. Bizyaev, and Ivan S. Mamaev p. 107  abstract