From quasiperiodicity to high-dimensional chaos without intermediate low-dimensional chaos

Details From quasiperiodicity to high-dimensional chaos without intermediate low-dimensional chaos From quasiperiodicity to high-dimensional chaos without intermediate low-dimensional chaos

2009-09-07

arxiv.org/abs/0909.1260v1

Nonlinear Sciences

Chaotic Dynamics

12 pages, 11 figures, 1 table. Extended version of [D. Pazo & M.A. Matias, EPL 72, 176-182 (2005)]

Scientific paper

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.

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