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arXiv · 1102.1272

On the road towards multidimensional tori

A. P. Kuznetsov·I. R. Sataev·L. V. Turukina
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Abstract

The problem of persistence of four-frequency tori is considered in models represented by the coupled periodically driven self-oscillators. We show that the adding the third oscillator gives rise to destruction of the three-frequency tori, with appearance of regions of either chaotic attractors or four-frequency tori. As the coupling strength decreases, the four-frequency tori dominate, and the amplitude threshold of their occurrence vanishes. Also, for three oscillators, a domain of complete synchronization of the system by the external driving can disappear.

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A. P. Kuznetsov, I. R. Sataev, L. V. Turukina. 2011-02-07. On the road towards multidimensional tori. https://doi.org/10.1016/j.cnsns.2010.09.026

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