Symmetry and Dynamics of A Magnetic Oscillator

Details Symmetry and Dynamics of A Magnetic Oscillator Symmetry and Dynamics of A Magnetic Oscillator

1997-08-06

arxiv.org/abs/chao-dyn/9708005v1

Physics

Condensed Matter

RevTeX, 4 eps figures included

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Symmetry and Dynamics of A Magnetic Oscillator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetry and Dynamics of A Magnetic Oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry and Dynamics of A Magnetic Oscillator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-244215