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Appl. Dyn. Syst."],"published-print":{"date-parts":[[2025,3,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>The cyclicity problem, crucial in analyzing planar vector fields, consists of estimating the number of limit cycles emanating from monodromic singularities. Traditionally, this estimation relies on Lyapunov coefficients. However, in nonsmooth systems, besides the limit cycles bifurcating by varying the Lyapunov coefficients, monodromic singularities on the switching curve can always be split apart, yielding, under suitable conditions, a sliding region and an additional limit cycle surrounding it. This bifurcation phenomenon, known as pseudo-Hopf bifurcation, has enhanced lower-bound cyclicity estimations for monodromic singularities in Filippov systems. In this study, we push beyond the pseudo-Hopf bifurcation, demonstrating that the destruction of [Formula: see text]-monodromic tangential singularities yields at least [Formula: see text] limit cycles surrounding sliding segments. This new bifurcation phenomenon expands our understanding of limit cycle bifurcations in nonsmooth systems and, in addition to the theoretical significance, has practical relevance in various applied models involving switches and abrupt processes.<\/jats:p>","DOI":"10.1137\/24m1668329","type":"journal-article","created":{"date-parts":[[2025,1,9]],"date-time":"2025-01-09T04:01:36Z","timestamp":1736395296000},"page":"165-186","source":"Crossref","is-referenced-by-count":3,"title":["Unveiling the Cyclicity of Monodromic Tangential Singularities: Insights beyond the Pseudo-Hopf Bifurcation"],"prefix":"10.1137","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9147-8442","authenticated-orcid":true,"given":"Douglas Duarte","family":"Novaes","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica - Instituto de Matem\u00e1tica, Estat\u00edstica e Computa\u00e7\u00e3o Cient\u00edfica (IMECC) - Universidade Estadual de Campinas (UNICAMP), Cidade Universit\u00e1ria Zeferino Vaz, 13083-859 Campinas, SP, Brazil."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Leandro A.","family":"Silva","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica - Instituto de Matem\u00e1tica, Estat\u00edstica e Computa\u00e7\u00e3o Cient\u00edfica (IMECC) - Universidade Estadual de Campinas (UNICAMP), Cidade Universit\u00e1ria Zeferino Vaz, 13083-859 Campinas, SP, Brazil."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2025,1,9]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2023.101397"},{"key":"ref2","series-title":"International Series of Monographs in Physics 4","volume-title":"Theory of Oscillators","author":"Andronov A.","year":"1966"},{"key":"ref3","unstructured":"B. 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