Landau--Hopf scenario in the ensemble of interacting oscillators

Alexander P. Kuznetsov ; Sergey P. Kuznetsov ; Ludmila V. Turukina ; I. R. Sataev

Russian journal of nonlinear dynamics, Tome 8 (2012) no. 5, pp. 863-873.

Résumé

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.

Détail

Keywords: synchronization, quasi-periodic dynamics
Mots-clés : bifurcations, chaos.

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