1997/08/06 by Sang-Yoon Kim, Kim, Sang-Yoon
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Condensed Matter (cond-mat) #FOS: Physical sciences #chao-dyn #cond-mat #nlin.CD
paper · pdf · doi:10.48550/arxiv.chao-dyn/9708005
RevTeX, 4 eps figures included
arxiv created 1997/08/06 · arxiv updated 2009/11/30
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.