Studies of the Hoyer system.

DOI10.1016/S0034-4877(01)80072-0zbMath1038.70003WikidataQ104405112 ScholiaQ104405112MaRDI QIDQ696322

Andrzej J. Maciejewski, Maria Przybylska

Publication date: 12 September 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

integrabilityPoisson structurequadratic HamiltonianEuler topthree-dimensional dynamical system

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Free motion of a rigid body (70E15) Forced motions in linear vibration theory (70J35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (3)

On the polynomial integrability of the Hoyer systems ⋮ The center problem on a center manifold in \(\mathbb{R}^{3}\) ⋮ Algebras of constants for some extensions of derivations

Cites Work

• Unnamed Item
• Polynomial first integrals of the Lotka-Volterra system
• Rational integration of the Lotka-Volterra system
• On the Euler equation: Bi-Hamiltonian structure and integrals in involution
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Poisson structure of dynamical systems with three degrees of freedom

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