Hyperchaotic Intermittent Convection in a Magnetized Viscous Fluid
Abstract
We consider a low-dimensional model of convection in a horizontally magnetized layer of a viscous fluid heated from below. We analyze in detail the stability of hydromagnetic convection for a wide range of two control parameters. Namely, when changing the initially applied temperature difference or magnetic field strength, one can see transitions from regular to irregular long-term behavior of the system, switching between chaotic, periodic, and equilibrium asymptotic solutions. It is worth noting that owing to the induced magnetic field a transition to hyperchaotic dynamics is possible for some parameters of the model. We also reveal new features of the generalized Lorenz model, including both type I and III intermittency.
Cite
@article{arxiv.1403.6169,
title = {Hyperchaotic Intermittent Convection in a Magnetized Viscous Fluid},
author = {Wieslaw M. Macek and Marek Strumik},
journal= {arXiv preprint arXiv:1403.6169},
year = {2014}
}
Comments
5 pages, 4 figures