Searching for integrable systems. An application of Kozlov theorem

DOI10.1016/S0034-4877(01)80021-5zbMath0994.37029MaRDI QIDQ5942382

Andrzej J. Maciejewski, Zuzanna Niedzielska, Krzysztof Goździewski

Publication date: 29 August 2001

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

zbMATH Keywords

Hamiltonian systems

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (1)

Complex dynamics of some Hamiltonian systems: nonintegrability of equations of motion

Cites Work

• Unrestricted planar problem of a symmetric body and a point mass. Triangular libration points and their stability
• Normalization and the detection of integrability: The generalized van der Waals potential
• System for normalization of a Hamiltonian function based on Lie series
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