Contents

Regular and Chaotic Dynamics


Vol. 31, No. 1, 2026


Comments on a Paper about Rubber Rolling by A. V. Borisov, I. S. Mamaev and I. A. Bizyaev (with an Appendix by Luis C. García-Naranjo)

Jair Koiller p. 1  abstract

Chaotic Dynamics and Stability Analysis of a Roller Bicycle

Ivan A. Bizyaev and Anna S. Berdnikova p. 28  abstract

On Mixed Dynamics in the Duffing Equation with Periodic Perturbations

Sergey V. Gonchenko and Kirill E. Morozov p. 53  abstract

Sigma Function Associated with a Hyperelliptic Curve with Two Points at Infinity

Takanori Ayano and Victor M. Buchstaber p. 69  abstract

Traveling Wave Solutions of the Burgers – Gardner Equation with a Nonlinear Source

Nikolay A. Kudryashov p. 83  abstract

On the Analytic Properties of the Perturbing Function in the PCR3Body Problem

Corrado Falcolini and Davide Zaccaria p. 92  abstract

New Stationary \(N\)-Symmetric States of Three Point Vortices in a Two-Layer Rotating Fluid

Mikhail A. Sokolovskiy p. 116  abstract

On Complex Algebraic Caustics in Planar and Projective Billiards

Alexey A. Glutsyuk p. 132  abstract

On Rational Integrals of Geodesic Flows on 2-Surfaces

Sergei V. Agapov p. 150  abstract

Liouvillian Solutions in the Problem of Motion of a Heavy Gyrostat with a Fixed Point under the Action of Gyroscopic Forces in the Hess Case

Alexander S. Kuleshov and Anton D. Skripkin p. 161  abstract

Erratum to: On the Problem of Stability of Viscous Shocks

Sergey V. Bolotin and Dmitry V. Treschev p. 173  abstract

Erratum to: On Perturbations of the Spectrum of a One-Dimensional \(\mathcal{PT}\)-Symmetric Periodic Schrödinger Operator

Petr G. Grinevich and Iskander A. Taimanov p. 174  abstract

Erratum to: The Lagrange Identity and Dynamics in a Potential Jacobi Field

Valery V. Kozlov p. 175  abstract