About Landau-Hopf scenario in a system of coupled self-oscillators
arXiv:1303.5767 · doi:10.1016/j.physleta.2013.10.013
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.