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 & MacKay (2018 Nonlinearity 31 2928--81). This shows that the proposed class is realisable.

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Bibliographic Details
Published in:arXiv.org 2024-01
Main Authors: Baesens, Claude, Homs-Dones, Marc, MacKay, Robert S
Format: Article
Language:English
Subjects:
Bifurcations
Fields (mathematics)
Toruses
Online Access:Get full text
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Summary: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 & MacKay (2018 Nonlinearity 31 2928--81). This shows that the proposed class is realisable.
ISSN:2331-8422