A short proof of chaos in an atmospheric system
Dynamical Systems
2009-11-07 v1 Symplectic Geometry
Abstract
We will prove the presence of chaotic motion in the Lorenz five-component atmospheric system model using the Melnikov function method developed by Holmes and Marsden for Hamiltonian systems on Lie Groups.
Keywords
Cite
@article{arxiv.math/0203155,
title = {A short proof of chaos in an atmospheric system},
author = {Petre Birtea and Mircea Puta and Tudor S. Ratiu and Razvan Tudoran},
journal= {arXiv preprint arXiv:math/0203155},
year = {2009}
}
Comments
PACS: 02.20.Sv; 02.30.Hg; 02.40.-k; 92.60.-e. 5 pages