Topological analysis of an integrable system related to the rolling of a ball on a sphere

DOI10.1134/S1560354713040035zbMath1334.37059OpenAlexW1974489517MaRDI QIDQ381022

Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 15 November 2013

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354713040035

zbMATH Keywords

bifurcationbifurcation diagramintegrable systemLiouville foliationconformally Hamiltonian systemcritical periodic solution

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constrained dynamics, Dirac's theory of constraints (70H45) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)

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