Lorenz-like attractors in nonholonomic models of Celtic stone
Dynamical Systems
2015-09-30 v1
Abstract
We study chaotic dynamics in nonholonomic model of Celtic stone. We show that, for certain values of parameters characterizing geometrical and physical properties of the stone, a strange Lorenz-like attractor is observed in the model. We study also bifurcation scenarios for appearance and break-down of this attractor.
Keywords
Cite
@article{arxiv.1412.1656,
title = {Lorenz-like attractors in nonholonomic models of Celtic stone},
author = {A. S. Gonchenko and S. V. Gonchenko},
journal= {arXiv preprint arXiv:1412.1656},
year = {2015}
}
Comments
15 pages, 7 figures. appears in Nonlinearity, 2015