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  Slow–Fast Dynamics of a Coupled Oscillator with Periodic Excitation

Xia, Y., He, J., Kurths, J., Bi, Q. (2023): Slow–Fast Dynamics of a Coupled Oscillator with Periodic Excitation. - International Journal of Bifurcation and Chaos, 33, 8, 2350093.
https://doi.org/10.1142/S0218127423500931

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Datensatz-Permalink: https://publications.pik-potsdam.de/pubman/item/item_29114 Versions-Permalink: https://publications.pik-potsdam.de/pubman/item/item_29114_2
Genre: Zeitschriftenartikel

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 Urheber:
Xia, Yibo1, Autor
He, Jingwei1, Autor
Kurths, Jürgen2, Autor              
Bi, Qinsheng1, Autor
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Zusammenfassung: We study the influence of the coexisting steady states in high-dimensional systems on the dynamical evolution of the vector field when a slow-varying periodic excitation is introduced. The model under consideration is a coupled system of Bonhöffer–van der Pol (BVP) equations with a slow-varying periodic excitation. We apply the modified slow–fast analysis method to perform a detailed study on all the equilibrium branches and their bifurcations of the generalized autonomous system. According to different dynamical behaviors, we explore the dynamical evolution of existing attractors, which reveals the coexistence of a quasi-periodic attractor with diverse types of bursting attractors. Further investigation shows that the coexisting steady states may cause spiking oscillations to behave in combination of a 2D torus and a limit cycle. We also identify a period-2 cycle bursting attractor as well as a quasi-periodic attractor according to the period-2 limit cycle.

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Sprache(n): eng - Englisch
 Datum: 2023-07-032023-06-30
 Publikationsstatus: Final veröffentlicht
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: DOI: 10.1142/S0218127423500931
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Complex Networks
Research topic keyword: Nonlinear Dynamics
Model / method: Machine Learning
 Art des Abschluß: -

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Titel: International Journal of Bifurcation and Chaos
Genre der Quelle: Zeitschrift, SCI, Scopus, p3
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 33 (8) Artikelnummer: 2350093 Start- / Endseite: - Identifikator: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/journals216
Publisher: World Scientific Publishing