Year: 2016
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Shnirelman, Alexander
Institutions: Concordia University, Concordia University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2397834374