Nonlinear dynamical systems and linearly forced isotropic turbulence
Fluid Dynamics
2013-01-23 v2 Statistical Mechanics
Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
In this paper, we present an extensive study of linearly forced isotropic turbulence. By using an analytical method, we identified two parametric choices that are new to our knowledge. We proved that the underlying nonlinear dynamical system for linearly forced isotropic turbulence is the general case of a cubic Lienard equation with linear damping (Dumortier and Rousseau 1990).
Cite
@article{arxiv.1301.4383,
title = {Nonlinear dynamical systems and linearly forced isotropic turbulence},
author = {Zheng Ran},
journal= {arXiv preprint arXiv:1301.4383},
year = {2013}
}
Comments
6 pages, 0 figures