Dynamical chaos in the problem of magnetic jet collimation
Cosmology and Nongalactic Astrophysics
2011-07-21 v1 Astrophysics of Galaxies
Abstract
We investigate dynamics of a jet collimated by magneto-torsional oscillations. The problem is reduced to an ordinary differential equation containing a singularity and depending on a parameter. We find a parameter range for which this system has stable periodic solutions and study bifurcations of these solutions. We use Poincar\'e sections to demonstrate existence of domains of regular and chaotic motions. We investigate transition from periodic to chaotic solutions through a sequence of period doublings.
Keywords
Cite
@article{arxiv.1107.3962,
title = {Dynamical chaos in the problem of magnetic jet collimation},
author = {G. S. Bisnovatyi-Kogan and A. I. Neishtadt and Z. F. Seidov and O. Yu. Tsupko and Yu. M. Krivosheyev},
journal= {arXiv preprint arXiv:1107.3962},
year = {2011}
}
Comments
11 pages, 29 figures, 1 table, MNRAS (published online)