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On the road towards multidimensional tori

✍ Scribed by A.P. Kuznetsov; I.R. Sataev; L.V. Turukina

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
726 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

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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