At the very origin of chaos in three-dimensional dynamical systems
Chaotic Dynamics
2007-05-23 v1
Abstract
The mechanism responsible for the emergence of chaotic behavior has been identified analytically within a class of three-dimensional dynamical systems which generalize the well-known E.N. Lorenz 1963 system. The dynamics in the phase space has been reformulated in terms of a first-exit-time problem. Chaos emerges due to discontinuous solutions of a transcendental problem ruling the time for a particle to cross a potential wall. Numerical results point toward the genericity of the new found mechanism.
Keywords
Cite
@article{arxiv.nlin/0012009,
title = {At the very origin of chaos in three-dimensional dynamical systems},
author = {R. Festa and A. Mazzino and D. Vincenzi},
journal= {arXiv preprint arXiv:nlin/0012009},
year = {2007}
}
Comments
4 pages, 4 figures