Symmetry breaking perturbations and strange attractors

Details Symmetry breaking perturbations and strange attractors Symmetry breaking perturbations and strange attractors

1996-11-27

arxiv.org/abs/math/9611217v1

Mathematics

Dynamical Systems

Scientific paper

10.1103/PhysRevE.55.4964

The asymmetrically forced, damped Duffing oscillator is introduced as a prototype model for analyzing the homoclinic tangle of symmetric dissipative systems with \textit{symmetry breaking} disturbances. Even a slight fixed asymmetry in the perturbation may cause a substantial change in the asymptotic behavior of the system, e.g. transitions from two sided to one sided strange attractors as the other parameters are varied. Moreover, slight asymmetries may cause substantial asymmetries in the relative size of the basins of attraction of the unforced nearly symmetric attracting regions. These changes seems to be associated with homoclinic bifurcations. Numerical evidence indicates that \textit{strange attractors} appear near curves corresponding to specific secondary homoclinic bifurcations. These curves are found using analytical perturbational tools.

Affiliated with

Also associated with

No associations

Rating

Symmetry breaking perturbations and strange attractors 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 breaking perturbations and strange attractors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry breaking perturbations and strange attractors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-515588