Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters

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dc.citation.volume462
dc.contributor.authorSimpson DJW
dc.contributor.authorGlendinning PA
dc.date.accessioned2024-10-23T01:47:25Z
dc.date.available2024-10-23T01:47:25Z
dc.date.issued2024-06
dc.description.abstractThe dynamics near a border-collision bifurcation are approximated to leading order by a continuous, piecewise-linear map. The purpose of this paper is to consider the higher-order terms that are neglected when forming this approximation. For two-dimensional maps we establish conditions under which a chaotic attractor created in a border-collision bifurcation persists for an open interval of parameters beyond the bifurcation. We apply the results to a prototypical power converter model to prove the model exhibits robust chaos.
dc.description.confidentialfalse
dc.edition.editionJune 2024
dc.identifier.citationSimpson DJW, Glendinning PA. (2024). Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters. Physica D: Nonlinear Phenomena. 462.
dc.identifier.doi10.1016/j.physd.2024.134131
dc.identifier.eissn1872-8022
dc.identifier.elements-typejournal-article
dc.identifier.issn0167-2789
dc.identifier.number134131
dc.identifier.piiS0167278924000824
dc.identifier.urihttps://mro.massey.ac.nz/handle/10179/71825
dc.languageEnglish
dc.publisherElsevier BV
dc.publisher.urihttps://www.sciencedirect.com/science/article/pii/S0167278924000824
dc.relation.isPartOfPhysica D: Nonlinear Phenomena
dc.rights(c) 2024 The Author/s
dc.rightsCC BY 4.0
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectRobust chaos
dc.subjectPiecewise-smooth systems
dc.subjectHybrid systems
dc.subjectBorder-collision bifurcation
dc.titleInclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters
dc.typeJournal article
pubs.elements-id488050
pubs.organisational-groupOther
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