Nonintegrability of the Størmer problem

DOI10.1016/0167-2789(95)00117-MzbMath0900.70214OpenAlexW2034214350MaRDI QIDQ1896548

Yanyan Li

Publication date: 29 August 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00117-m

zbMATH Keywords

magnetic dipolemeromorphic extensionKovacic's algorithmangular momentum componentcomplexified phase spacenonequilibium phase curvenonrelativistic Hamiltonian

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Motion of charged particles (78A35)

Related Items

Non-integrability of the anisotropic Stormer problem with angular momentum, Non-integrability of the anisotropic Stormer problem and the isosceles three-body problem

Cites Work

• Unnamed Item
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
• Periodic orbits of an electric charge in a magnetic dipole field
• Nonintegrability of the classical Zeeman Hamiltonian
• Cantor set structures in the singularities of classical potential scattering
• On the nonintegrability of the Stormer problem