Numerical Study of Stochastic Disturbances on the Behavior of Solutions of Lorenz System

A. N. Firsov, I. N. Inovenkov, V. V. Tikhomirov, V. V. Nefedov

2022

Abstract

Nowadays interest of the deterministic differential system of Lorenz equations is still primarily due to the problem of gas and fluid turbulence. Despite a large number of existing systems for calculating turbulent flows, new modifications of already known models are constantly being investigated. In this paper we consider the effect of stochastic additive perturbations on the Lorenz convective turbulence model. To implement this and subsequent interpretation of the results obtained, a numerical simulation of the Lorenz system perturbed by adding a stochastic differential to its right side is carried out using the programming capabilities of the MATLAB programming environment.

Paper Citation

in Harvard Style

Firsov A., Inovenkov I., Tikhomirov V. and Nefedov V. (2022). Numerical Study of Stochastic Disturbances on the Behavior of Solutions of Lorenz System. In Proceedings of the 3rd International Symposium on Automation, Information and Computing - Volume 1: ISAIC; ISBN 978-989-758-622-4, SciTePress, pages 69-74. DOI: 10.5220/0011902900003612

in Bibtex Style

@conference{isaic22,
author={A. N. Firsov and I. N. Inovenkov and V. V. Tikhomirov and V. V. Nefedov},
title={Numerical Study of Stochastic Disturbances on the Behavior of Solutions of Lorenz System},
booktitle={Proceedings of the 3rd International Symposium on Automation, Information and Computing - Volume 1: ISAIC},
year={2022},
pages={69-74},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011902900003612},
isbn={978-989-758-622-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 3rd International Symposium on Automation, Information and Computing - Volume 1: ISAIC
TI - Numerical Study of Stochastic Disturbances on the Behavior of Solutions of Lorenz System
SN - 978-989-758-622-4
AU - Firsov A.
AU - Inovenkov I.
AU - Tikhomirov V.
AU - Nefedov V.
PY - 2022
SP - 69
EP - 74
DO - 10.5220/0011902900003612
PB - SciTePress