Magnetic confinement of a neutral atom in a double-wire waveguide: a nonlinear dynamics approach

DOI10.1016/j.cnsns.2020.105662zbMath1480.81129OpenAlexW3112257469MaRDI QIDQ2038110

Manuel Iñarrea, J. Pablo Salas, Patricia Yanguas, Jesús F. Palacián, Victor Lanchares

Publication date: 9 July 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105662

zbMATH Keywords

magnetic trapping

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Hamilton's equations (70H05) Antennas, waveguides in optics and electromagnetic theory (78A50) Atomic physics (81V45) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Cites Work

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• The Lissajous transformation. I: Basics
• The Lissajous transformation. II: Normalization
• The Lissajous transformation. III: Parametric bifurcations
• Biparametric quadratic Hamiltonians on the unit sphere: Complete classification
• Bifurcations in biparametric quadratic potentials
• Bifurcations in biparametric quadratic potentials. II
• Canonical transformations depending on a small parameter

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