The Hamiltonian dynamics of planar magnetic confinement

DOI10.1088/1361-6544/aa8ca4zbMath1383.37068arXiv1512.05308OpenAlexW2963595935MaRDI QIDQ4600127

Gabriel Martins

Publication date: 5 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05308

zbMATH Keywords

nonlinear dynamicsHamiltonian dynamicsmagnetic confinementmagnetic flow

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Hamilton's equations (70H05) Applications of differential geometry to physics (53Z05) Motion of charged particles (78A35) Dynamical systems in classical and celestial mechanics (37N05) Kinematics of a particle (70B05)

Related Items (2)

The Hamiltonian dynamics of magnetic confinement in toroidal domains ⋮ Boundary effects on the magnetic Hamiltonian dynamics in two dimensions

Cites Work

• Confining quantum particles with a purely magnetic field
• Hearing the zero locus of a magnetic field
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• The motion of a charged particle on a Riemannian surface under a non-zero magnetic field
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