Volume 72, Number 2, October 2005
|Page(s)||176 - 182|
|Published online||21 September 2005|
Direct transition to high-dimensional chaos through a global bifurcation
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
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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