| Issue |
Europhys. Lett.
Volume 72, Number 2, October 2005
|
|
|---|---|---|
| Page(s) | 176 - 182 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10239-3 | |
| Published online | 21 September 2005 | |
Direct transition to high-dimensional chaos through a global bifurcation
1
Grupo de Física Non Lineal, Facultade de Física Universidade de Santiago de Compostela - E-15782 Santiago de Compostela, Spain
2
Instituto Mediterráneo de Estudios Avanzados, IMEDEA (CSIC-UIB) E-07122 Palma de Mallorca, Spain
Corresponding authors: pazo@pks.mpg.de manuel@imedea.uib.es
Received:
4
July
2005
Accepted:
1
September
2005
In the present work we report on a genuine route by which
a high-dimensional (with
) chaotic attractor is created directly, i.e., without a
low-dimensional chaotic attractor as an intermediate step.
The high-dimensional chaotic set
is created in a heteroclinic global bifurcation that yields
an infinite number of unstable tori.
The mechanism is illustrated
using a system constructed by coupling three Lorenz oscillators. So,
the route presented here can be considered a prototype for high-dimensional
chaotic behavior just as the Lorenz model is for low-dimensional chaos.
PACS: 05.45.Jn – High-dimensional chaos / 05.45.Xt – Synchronization; coupled oscillators
© EDP Sciences, 2005
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