Deutsch
 
Datenschutzhinweis Impressum
  DetailsucheBrowse
  1. Datensatz ansehen / 
  2. Datensatz Übersicht

Datensatz

DATENSATZ AKTIONENEXPORT
Zur Ablage hinzufügen
  Lokale TagsFreigabegeschichteDetailsÜbersicht

Freigegeben
Zeitschriftenartikel

Bursting multistability induced by double-Hopf bifurcation

Urheber*innen

Xia,  Yibo
External Organizations;

/persons/resource/yanchuk

Yanchuk,  Serhiy
Potsdam Institute for Climate Impact Research;

Cao ,  Yichuan
External Organizations;

Bi,  Qinsheng
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)
Es sind keine frei zugänglichen Volltexte in PIKpublic verfügbar
Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

Xia, Y., Yanchuk, S., Cao, Y., Bi, Q., Kurths, J. (2023): Bursting multistability induced by double-Hopf bifurcation. - Chaos, 33, 8, 083137.
https://doi.org/10.1063/5.0157718


Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_29112
Zusammenfassung
We study the slow–fast dynamics of a system with a double-Hopf bifurcation and a slowly varying parameter. The model consists of coupled Bonhöffer–van der Pol oscillators excited by a periodic slow-varying AC source. We consider two cases where the slowly varying parameter passes by or crosses the double-Hopf bifurcation, respectively. Due to the system’s multistability, two bursting solutions are observed in each case: single-mode bursting and two-mode bursting. Further investigation reveals that the double-Hopf bifurcation causes a stable coexistence of these two bursting solutions. The mechanism of such coexistence is explained using the slowly changing phase portraits of the fast subsystem. We also show the robustness of the observed effect in the vicinity of the double-Hopf bifurcation.