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Direct transition to high-dimensional chaos through a global bifurcation

Diego Pazo·Manuel A. Matias
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Abstract

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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Diego Pazo, Manuel A. Matias. 2005-10-10. Direct transition to high-dimensional chaos through a global bifurcation. https://doi.org/10.1209/epl%2Fi2005-10239-3

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