Dynamics of constrained many body problems in constant curvature two-dimensional manifolds

DOI10.1098/rsta.2017.0425zbMath1407.70017OpenAlexW2891085979WikidataQ91493143 ScholiaQ91493143MaRDI QIDQ4626212

Andrzej J. Maciejewski, Maria Przybylska

Publication date: 27 February 2019

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2017.0425

zbMATH Keywords

rigid bodyspace of constant curvaturesystems with constraintsPoincaré-Chetaev equations

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (1)

Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions

Cites Work

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• Rigid body dynamics in non-Euclidean spaces
• An algorithm for solving second order linear homogeneous differential equations
• Dynamics of multibody chains in circular orbit: non-integrability of equations of motion
• The spatial problem of 2 bodies on a sphere. Reduction and stochasticity
• Differential Galois theory and non-integrability of Hamiltonian systems

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