Geodesic
Synchronization mechanisms of resonant limit cycle on two-dimensional torus
Russian journal of nonlinear dynamics, Tome 4 (2008) no. 1, pp. 39-56.

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We investigate synchronization of a resonant limit cycle on a two dimensional torus by an external harmonic signal. The regime of resonant limit cycle is realized in a system of two coupled Van der Pol oscillators, we consider the resonances 1:1 and 1:3. We analyse the influence of the generators coupling strength. We show, that generally the effect of synchronization of a resonant limit cycle on torus is followed by the distruction of the resonance in the system, next one of the basic frequencies of the system becomes locked, and then another. We consider the bifurcation mechanism of synchronization effect.
Keywords: Limit cycle, saddle-node bifurcation, synchronization.
Mots-clés : torus 
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     author = {V. S. Anishchenko and S. M. Nikolaev and J. Kurths},
     title = {Synchronization mechanisms of resonant limit cycle on two-dimensional torus},
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     url = {http://geodesic.mathdoc.fr/item/ND_2008_4_1_a1/}
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V. S. Anishchenko; S. M. Nikolaev; J. Kurths. Synchronization mechanisms of resonant limit cycle on two-dimensional torus. Russian journal of nonlinear dynamics, Tome 4 (2008) no. 1, pp. 39-56. http://geodesic.mathdoc.fr/item/ND_2008_4_1_a1/