Geodesic
Landau--Hopf scenario in the ensemble of interacting oscillators
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 5, pp. 863-873

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The conditions are discussed for which the ensemble of interacting oscillators may demonstrate Landau–Hopf scenario of successive birth of multi-frequency regimes. A model is proposed in the form of a network of five globally coupled oscillators, characterized by varying degree of excitement of individual oscillators. Illustrations are given for the birth of the tori of increasing dimension by successive quasi-periodic Hopf bifurcation.
Keywords: synchronization, quasi-periodic dynamics
Mots-clés : bifurcations, chaos. 
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     author = {Alexander P. Kuznetsov and Sergey P. Kuznetsov and Ludmila V. Turukina and I. R. Sataev},
     title = {Landau--Hopf scenario in the ensemble of interacting oscillators},
     journal = {Russian journal of nonlinear dynamics},
     pages = {863--873},
     publisher = {mathdoc},
     volume = {8},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2012_8_5_a0/}
}
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Alexander P. Kuznetsov; Sergey P. Kuznetsov; Ludmila V. Turukina; I. R. Sataev. Landau--Hopf scenario in the ensemble of interacting oscillators. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 5, pp. 863-873. http://geodesic.mathdoc.fr/item/ND_2012_8_5_a0/