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arXiv · 1303.5767

About Landau-Hopf scenario in a system of coupled self-oscillators

Alexander P. Kuznetsov·Sergey P. Kuznetsov·Igor R. Sataev·Ludmila L. Turukina
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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.

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Alexander P. Kuznetsov, Sergey P. Kuznetsov, Igor R. Sataev, Ludmila L. Turukina. 2013-03-22. About Landau-Hopf scenario in a system of coupled self-oscillators. https://doi.org/10.1016/j.physleta.2013.10.013

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