Gyrostatic Suslov Problem

DOI10.20537/nd221210zbMath1528.70004OpenAlexW4312385999MaRDI QIDQ6054853

Maria Przybylska, Andrzej J. Maciejewski

Publication date: 28 September 2023

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd814

zbMATH Keywords

integrabilitynonholonomic systemelliptic functionexternal potential forceSuslov constraint

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Integrable cases of motion in rigid body dynamics (70E40) Motion of the gyroscope (70E05)

Cites Work

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• Non-integrability of the dumbbell and point mass problem
• Galoisian obstructions to non-Hamiltonian integrability
• Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors
• The absence of an additional real-analytic first integral in some problems of dynamics
• Integrability analysis of the stretch-twist-fold flow
• Hamiltonicity and integrability of the Suslov problem
• The Poisson equations in the nonholonomic Suslov problem: integrability, meromorphic and hypergeometric solutions
• Nonintegrability of the Suslov problem
• DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY

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