On the road towards multidimensional tori
Chaotic Dynamics
2015-05-27 v1
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.
Keywords
Cite
@article{arxiv.1102.1272,
title = {On the road towards multidimensional tori},
author = {A. P. Kuznetsov and I. R. Sataev and L. V. Turukina},
journal= {arXiv preprint arXiv:1102.1272},
year = {2015}
}