Synchronization mechanisms of resonant limit cycle on two-dimensional torus

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

doi:10.20537/nd0801002

Datensatz

DATENSATZ AKTIONENEXPORT

Zur Ablage hinzufügen

Lokale TagsFreigabegeschichteDetailsÜbersicht

Freigegeben

Zeitschriftenartikel

Synchronization mechanisms of resonant limit cycle on two-dimensional torus

Urheber*innen

Anishchenko, V. S.
External Organizations;

Nikolaev, S. M.
External Organizations;

/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

Externe Ressourcen

Es sind keine externen Ressourcen hinterlegt

Volltexte (frei zugänglich)

3834.pdf
(Verlagsversion), 2MB

Ergänzendes Material (frei zugänglich)

Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar

Zitation

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

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

Zusammenfassung

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.