Non-integrability of the anisotropic Stormer problem with angular momentum

DOI10.1016/j.physd.2003.08.007zbMath1098.70513OpenAlexW1988021480MaRDI QIDQ1885882

Márcio A. C. Almeida, Teresinha J. Stuchi

Publication date: 12 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2003.08.007

zbMATH Keywords

Angular momentumAnisotropic Kepler problemAnisotropic Stormer problem

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Two-body problems (70F05) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items

Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Classical nonintegrability of a quantum chaotic \(SU(3)\) Hamiltonian system ⋮ Non-integrability of the anisotropic Stormer problem and the isosceles three-body problem

Cites Work

• Periodic orbits of an electric charge in a magnetic dipole field
• Chaos in classical and quantum mechanics
• A new necessary condition for the integrability of Hamiltonian systems with a two-dimensional homogeneous potential
• Nonintegrability of the Størmer problem
• On the Determination of Ziglin Monodromy Groups
• Differential Galois theory and non-integrability of Hamiltonian systems
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