%0 Journal Article
%T About Landau-Hopf scenario in a system of coupled self-oscillators
%A Alexander P. Kuznetsov
%A Sergey P. Kuznetsov
%A Igor R. Sataev
%A Ludmila L. Turukina
%J Physics
%D 2013
%I arXiv
%R 10.1016/j.physleta.2013.10.013
%X 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.
%U http://arxiv.org/abs/1303.5767v1