Groups and nonlinear dynamical systems. Chaotic dynamics on the SU(2)xSU(2) group
chao-dyn
2015-06-24 v1 Chaotic Dynamics
Abstract
In our previous paper: K. Kowalski and J. Rembieli\'nski, Groups and nonlinear dynamical systems. Dynamics on the SU(2) group, Physica D 99, 237 (1996), we introduced an abstract Newton-like equation on a general Lie algebra such that submanifolds fixed by the second-order Casimir operator are attracting set. The corresponding group parameters satisfy the nonlinear dynamical system having an attractor coinciding with the submanifold. In this work we discuss the case with the group. The resulting second-order system in is demonstrated to exhibit chaotic behaviour.
Cite
@article{arxiv.chao-dyn/9801020,
title = {Groups and nonlinear dynamical systems. Chaotic dynamics on the SU(2)xSU(2) group},
author = {K. Kowalski and J. Rembielinski},
journal= {arXiv preprint arXiv:chao-dyn/9801020},
year = {2015}
}
Comments
12 pages LaTeX, uses espart.sty and equation.sty; accepted for publication in Chaos, Solitons & Fractals