Symmetry and dynamics of a magnetic oscillator
نویسنده
چکیده
We consider a permanent magnetic dipole in an oscillating magnetic field. This magnetic oscillator has two dynamical symmetries. With increasing the amplitude A of the magnetic field, dynamical behaviors associated with the symmetries are investigated. For small A, there exist symmetric states with respect to one of the two symmetries. However, such symmetric states lose their symmetries via symmetry-breaking pitchfork bifurcations and then the symmetry-broken states exhibit period-doubling transitions to chaos. Consequently, small chaotic attractors with broken symmetries appear. However, as A is further increased they merge into a large symmetric chaotic attractor via symmetry-restoring attractor-merging crisis. PACS numbers: 05.45.+b, 03.20.+i Typeset using REVTEX ∗Electronic address: [email protected]
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تاریخ انتشار 1997