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Non-integrability of anisotropic quasi-homogeneous Hamiltonian systems.

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Publication:1416482
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DOI10.1016/S0093-6413(03)00005-3zbMath1038.70012OpenAlexW2119286716MaRDI QIDQ1416482

Antonio Elipe, Mercedes Arribas, Andrés Riaguas

Publication date: 14 December 2003

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0093-6413(03)00005-3


zbMATH Keywords

Non-integrabilityAnisotropic problemHomogeneous potential


Mathematics Subject Classification ID

Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)


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Anisotropic Kepler and anisotropic two fixed centres problems ⋮ Spatial collinear restricted four-body problem with repulsive Manev potential ⋮ Non-integrability of the dumbbell and point mass problem ⋮ Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential ⋮ Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Non-integrability of some few body problems in two degrees of freedom ⋮ The Kepler problem with anisotropic perturbations



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