From quasiperiodicity to high-dimensional chaos without intermediate low-dimensional chaos
Chaotic Dynamics
2009-09-08 v1
Abstract
We study and characterize a direct route to high-dimensional chaos (i.e. not implying an intermediate low-dimensional attractor) of a system composed out of three coupled Lorenz oscillators. A geometric analysis of this medium-dimensional dynamical system is carried out through a variety of numerical quantitative and qualitative techniques, that ultimately lead to the reconstruction of the route. The main finding is that the transition is organized by a heteroclinic explosion. The observed scenario resembles the classical route to chaos via homoclinic explosion of the Lorenz model.
Keywords
Cite
@article{arxiv.0909.1260,
title = {From quasiperiodicity to high-dimensional chaos without intermediate low-dimensional chaos},
author = {Diego Pazo and Manuel A. Matias},
journal= {arXiv preprint arXiv:0909.1260},
year = {2009}
}
Comments
12 pages, 11 figures, 1 table. Extended version of [D. Pazo & M.A. Matias, EPL 72, 176-182 (2005)]