Geodesic
Forced synchronization of two coupled van der Pol self-oscillators
Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 411-425

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The problem of external driving by the harmonic signal of two coupled self-oscillators is investigated. Comparison with the synchronization picture for phase oscillators is given. We discuss the configuration of periodic, two- and three-frequency regimes in the parameter space of external signal. The illustrations of three-frequency tori and resonance two-frequency tori are given. A number of significant differences from the bifurcation mechanisms for the destruction of synchronization are found compared with the case of phase oscillators.
Keywords: synchronization, quasi-periodic dynamics
Mots-clés : bifurcations, chaos. 
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     author = {A. P. Kuznetsov and I. R. Sataev and L. V. Turukina},
     title = {Forced synchronization of two coupled van der {Pol} self-oscillators},
     journal = {Russian journal of nonlinear dynamics},
     pages = {411--425},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2011_7_3_a0/}
}
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A. P. Kuznetsov; I. R. Sataev; L. V. Turukina. Forced synchronization of two coupled van der Pol self-oscillators. Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 411-425. http://geodesic.mathdoc.fr/item/ND_2011_7_3_a0/