Synchronization mechanisms of resonant limit cycle on two-dimensional torus

Anishchenko, V. S.; Nikolaev, S. M.; Kurths, Jürgen

doi:10.20537/nd0801002

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Synchronization mechanisms of resonant limit cycle on two-dimensional torus

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Anishchenko, V. S.
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Nikolaev, S. M.
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Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

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Citation

Anishchenko, V. S., Nikolaev, S. M., Kurths, J. (2008): Synchronization mechanisms of resonant limit cycle on two-dimensional torus. - Nelinejnaja Dinamika, 4, 1, 39-55.
https://doi.org/10.20537/nd0801002

Cite as: https://publications.pik-potsdam.de/pubman/item/item_15123

Abstract

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.