Nonintegrability of the Dragt-Finn model of magnetic confinement: A Galoisian-group approach

DOI10.1016/S0167-2789(00)00077-4zbMath0958.37029MaRDI QIDQ1586870

Albert W. Sáenz

Publication date: 16 April 2001

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

zbMATH Keywords

nonintegrabilitydifferential Galois groupconfluent Heun equationmeromorphic extensionDragt-Finn modelnonintegrable Hamiltoniannormal variational equationZiglin group

Mathematics Subject Classification ID

Differential algebra (12H05) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (2)

Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Classical nonintegrability of a quantum chaotic \(SU(3)\) Hamiltonian system

Cites Work

• Note on Kovacic's algorithm
• Monodromy and nonintegrability in complex Hamiltonian systems
• Kovacic's algorithm and its application to some families of special functions
• Nonintegrability of the classical Zeeman Hamiltonian
• On the Determination of Ziglin Monodromy Groups
• Differential Galois theory and non-integrability of Hamiltonian systems
• Unnamed Item

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