Evolving evolutoids and pedaloids from viewpoints of envelope and singularity theory in Minkowski plane

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dc.contributor.authorYang, Zhichao
dc.contributor.authorLi, Yanlin
dc.contributor.authorErdogdu, Melek
dc.contributor.authorZhu, Yushu
dc.date.accessioned2024-02-23T14:03:00Z
dc.date.available2024-02-23T14:03:00Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractIn this paper, we take advantage of envelope theory and singularity theory to study the evolutoids and pedaloids in Minkowski plane. We illustrate an internal correlation from algebraic and geometric viewpoints, and give the geometric explanation of evolutoids and pedaloids. Then, we generalize the notions of evolutoids and pedaloids to the category of frontals in Minkowski plane. Furthermore, we apply the technique of singularity theory, using the discriminants and versal unfolding tools, to consider evolving evolutoids and give the classifications of singularities of the evolutoids, and explain when cusps and inflexions occur and how evolutoids evolving. Besides, we found that there is a close relationship between the evolutoids and pedaloids and good correspondence between their singularities.(c) 2022 Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipNational Natural Science Foundation of China [12101168]; Zhejiang Provincial Natural Science Foundation of China [LQ22A010014]en_US
dc.description.sponsorshipAcknowledgement This research was funded by National Natural Science Foundation of China (Grant No. 12101168) , Zhejiang Provincial Natural Science Foundation of China (Grant No. LQ22A010014) .en_US
dc.identifier.doi10.1016/j.geomphys.2022.104513
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.scopus2-s2.0-85127004526en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.geomphys.2022.104513
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11937
dc.identifier.volume176en_US
dc.identifier.wosWOS:000794865700017en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal Of Geometry And Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEvolutoidsen_US
dc.subjectPedaloidsen_US
dc.subjectEnvelope Theoryen_US
dc.subjectSingularity Theoryen_US
dc.subjectMinkowski Planeen_US
dc.titleEvolving evolutoids and pedaloids from viewpoints of envelope and singularity theory in Minkowski planeen_US
dc.typeArticleen_US

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