Direct transition to high-dimensional chaos through a global bifurcation

Details Direct transition to high-dimensional chaos through a global bifurcation Direct transition to high-dimensional chaos through a global bifurcation

2004-07-16

arxiv.org/abs/nlin/0407039v3

Europhysics Letters 72, 176-182 (2005)

Nonlinear Sciences

Chaotic Dynamics

7 pages

Scientific paper

10.1209/epl/i2005-10239-3

In the present work we report on a genuine route by which a high-dimensional (with d>4) 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.

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