Example of simplest bifurcation diagram for a monotone family of vector fields on a torus

We present an example of a monotone two-parameter family of vector fields on a torus whose bifurcation diagram we demonstrate to be in the class of ‘simplest’ diagrams proposed by Baesens and MacKay (2018 Nonlinearity 31 2928–81). This shows that the proposed class is realisable.

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Veröffentlicht in:Nonlinearity 2024-11, Vol.37 (11), p.115001
Hauptverfasser: Baesens, Claude, Homs-Dones, Marc, MacKay, Robert S
Format: Artikel
Sprache:eng
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Zusammenfassung:We present an example of a monotone two-parameter family of vector fields on a torus whose bifurcation diagram we demonstrate to be in the class of ‘simplest’ diagrams proposed by Baesens and MacKay (2018 Nonlinearity 31 2928–81). This shows that the proposed class is realisable.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ad6b70