About Landau-Hopf scenario in a system of coupled self-oscillators
Chaotic Dynamics
2015-06-15 v1
Abstract
The conditions are discussed for which an ensemble of interacting oscillators may demonstrate the Landau-Hopf scenario of successive birth of multi-frequency quasi-periodic motions. A model is proposed that is a network of five globally coupled oscillators characterized by controlled degree of activation of individual oscillators. Illustrations are given for successive birth of tori of increasing dimension via quasi-periodic Hopf bifurcations.
Keywords
Cite
@article{arxiv.1303.5767,
title = {About Landau-Hopf scenario in a system of coupled self-oscillators},
author = {Alexander P. Kuznetsov and Sergey P. Kuznetsov and Igor R. Sataev and Ludmila L. Turukina},
journal= {arXiv preprint arXiv:1303.5767},
year = {2015}
}