On the butterfly effect
General Physics
2016-05-27 v1
Abstract
The term "butterfly effect" means an extreme sensitivity of a dynamical system to small perturbations: "The beating of a butterfly wing in South America can result in the considerable change of positions and force of a tropical cyclon in Atlantic 2 weeks later". Numerical simulations of R.Robert show the absence of the butterfly effect in some simple flows of 2-d ideal incompressible fluid which is a model of the atmosphere. In this work a more complicated flow is considered. Numerical simulation demonstrates the butterfly effect in the strongest form. The effect is robust, and the experiment is 100% reproducible.
Keywords
Cite
@article{arxiv.1605.08271,
title = {On the butterfly effect},
author = {Alexander Shnirelman},
journal= {arXiv preprint arXiv:1605.08271},
year = {2016}
}
Comments
6 pages, 7 figures