Chaotic motion of a harmonically bound charged particle in a magnetic field, in the presence of a half-plane barrier

Bernardus J. Geurts, F.W. Wiegel, Richard J. Creswick

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    Abstract

    The motion in the plane of an harmonically bound charged particle interacting with a magnetic field and a half-plane barrier along the positive x-axis is studied. The magnetic field is perpendicular to the plane in which the particle moves. This motion is integrable in between collisions of the particle with the barrier. However, the overall motion of the particle is very complicated. Chaotic regions in phase space exist next to island structures associated with linearly stable periodic orbits. We study in detail periodic orbits of low period and in particular their bifurcation behavior. Independent sequences of period doubling bifurcations and resonant bifurcations are observed associated with independent fixed points in the Poincaré section. Due to the perpendicular magnetic field an orientation is induced on the plane and time-reversal symmetry is broken.
    Original languageUndefined
    Pages (from-to)72-91
    Number of pages19
    JournalPhysica A
    Volume165
    Issue number1
    DOIs
    Publication statusPublished - 1991

    Keywords

    • IR-61300
    • METIS-129592

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