Motion of charged particles in magnetic fields created by symmetric configurations of wires

DOI10.1016/j.physd.2010.01.021zbMath1186.37103OpenAlexW1980420396MaRDI QIDQ968516

Jacobo Aguirre, Daniel Peralta-Salas, Alejandro Luque

Publication date: 5 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.physd.2010.01.021

zbMATH Keywords

quasi-periodic solutionschaotic scatteringHamiltonian dynamical systemsmagnetic trapmotion of charges in magnetic fields

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27) Simulation of dynamical systems (37M05) Motion of charged particles (78A35)

Related Items (5)

Periodic dynamics in the relativistic regime of an electromagnetic field induced by a time-dependent wire ⋮ On the dynamics of a charged particle in magnetic fields with cylindrical symmetry ⋮ Non-resonant circles for strong magnetic fields on surfaces ⋮ Magnetic field induced dynamical chaos ⋮ Motions of a charged particle in the electromagnetic field induced by a non-stationary current

Uses Software

• GSL

Cites Work

• Bifurcation to chaotic scattering
• Helicoidal trajectories of a charge in a nonconstant magnetic field
• Fractal basin boundaries
• Isolated unstable periodic orbits
• Universal properties of escape in dynamical systems
• A particle in a magnetic field of an infinite rectilinear current
• Identification of symmetry breaking and a bifurcation sequence to chaos in single particle dynamics in magnetic reversals
• Classical and macroquantum dynamics of charged particles in a magnetic field
• Invariant sets of second order differential equations
• Some properties of the magnetic fields generated by symmetric configurations of wires
• Anosov magnetic flows, critical values and topological entropy
• On the asymptotic series expansion of the motion of a charged particle in slowly varying fields
• Integrability of magnetic fields created by current distributions
• The motion of a charged particle on a Riemannian surface under a non-zero magnetic field
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