Direct statistical simulation of the Lorenz63 system
Statistical Mechanics
2022-04-08 v2 Chaotic Dynamics
Fluid Dynamics
Abstract
We use direct statistical simulation (DSS) to find the low-order statistics of the well-known dynamical system, the Lorenz63 model. Instead of accumulating statistics from numerical simulation of the dynamical systems, we solve the equations of motion for the statistics themselves after closing them by making several different choices for the truncation. Fixed points of the statistics are obtained either by time evolving, or by iterative methods. Statistics so obtained are compared to those found by the traditional approach.
Keywords
Cite
@article{arxiv.2109.02482,
title = {Direct statistical simulation of the Lorenz63 system},
author = {Kuan Li and J. B. Marston and Saloni Saxena and Steven M. Tobias},
journal= {arXiv preprint arXiv:2109.02482},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2103.12741