Integrable Variants of Non-Holonomic Rigid Body Problems

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1521-4001(199812)78:12<833::AID-ZAMM833>3.0.CO;2-G" /><833::AID-ZAMM833>3.0.CO;2-G 10.1002/(SICI)1521-4001(199812)78:12<833::AID-ZAMM833>3.0.CO;2-GzbMath0928.70014OpenAlexW2050844230MaRDI QIDQ4228039

G. G. Okuneva

Publication date: 2 February 1999

Full work available at URL: https://doi.org/10.1002/(sici)1521-4001(199812)78:12<833::aid-zamm833>3.0.co;2-g

zbMATH Keywords

energy integralphase spaceEuler-Poisson equationsintegral manifoldsnon-holonomic Suslov problemsphere with four holessphere with handles and holestorus with four holes

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Nonholonomic systems related to the dynamics of a system of particles (70F25) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Related Items (4)

The geometry and integrability of the Suslov problem ⋮ Quasi-Chaplygin systems and nonholonomic rigid body dynamics ⋮ The Hess-Appelrot system and its nonholonomic analogs ⋮ Suslov problem with the Clebsch-Tisserand potential

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