Integrability, normal forms, and magnetic axis coordinates

DOI10.1063/5.0049361zbMath1487.78002arXiv2103.02888OpenAlexW4206662945MaRDI QIDQ5020205

J. W. Burby, Nathan Duignan, James D. Meiss

Publication date: 4 January 2022

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.02888

zbMATH Keywords

magnetic fieldsplasma confinement devices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Electromagnetic theory (general) (78A25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (1)

Existence of global symmetries of divergence-free fields with first integrals

Cites Work

• Unnamed Item
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• A conceptual approach to the problem of action-angle variables
• Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
• Momentum maps and Hamiltonian reduction
• Integrable systems, symmetries, and quantization
• A guiding center Hamiltonian: A new approach
• Plasma equilibrium with rational magnetic surfaces
• On Coisotropic Imbeddings of Presymplectic Manifolds
• Cosymplectic reduction for singular momentum maps
• REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY
• Singular Bohr–Sommerfeld rules for 2D integrable systems
• Some mathematics for quasi-symmetry
• Differential Dynamical Systems, Revised Edition

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