Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/45921
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dc.contributor.authorDE MAESSCHALCK, Peter-
dc.contributor.authorTorregrosa, Joan-
dc.date.accessioned2025-05-08T13:26:30Z-
dc.date.available2025-05-08T13:26:30Z-
dc.date.issued2025-
dc.date.submitted2025-05-08T11:46:04Z-
dc.identifier.citationJournal of Differential Equations, 433 (Art N° 113307)-
dc.identifier.urihttp://hdl.handle.net/1942/45921-
dc.description.abstractBy considering planar slow-fast systems with a curve of double singular points, we obtain lower bounds on the number of limit cycles of polynomial systems surrounding a single singular point, as well as on the number of critical periods in one annulus of periodic orbits. In some circumstances, orbits of such slow-fast systems do not exhibit the typical slow-fast behavior but instead follow a hit-and-run pattern: they quickly move toward the critical curve, pause briefly there, and then continue their path. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.-
dc.description.sponsorshipThis work has been funded by Flanders FWO agency (G0F1822N grant); the Catalonia AGAUR agency (2021 SGR 00113 grant); the Spanish Ministerio de Ciencia, Innovación y Universidades - Agencia Estatal de Investigación (PID2022-136613NB-I00 grant), the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R& (CEX2020-001084-M grant). We would like to thank the kind hospitality of the research team of Universitat de les Illes Balears who gave us the opportunity to work together for this work. This project was mainly carried out during a research visit of both authors to UIB. We thank the anonymous referees for their careful review of our initial version. Their comments have helped improve the clarity of the manuscript.-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.rights2025 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).-
dc.subject.otherCritical periods-
dc.subject.otherNon-hyperbolic slow-fast systems-
dc.titleLimit cycles and critical periods with non-hyperbolic slow-fast systems-
dc.typeJournal Contribution-
dc.identifier.volume433-
local.format.pages24-
local.bibliographicCitation.jcatA1-
dc.description.notesTorregrosa, J (corresponding author), Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Barcelona, Spain.; Torregrosa, J (corresponding author), Ctr Recerca Matemat, Campus Bellaterra, Bellaterra 08193, Barcelona, Spain.-
dc.description.notespeter.demaesschalck@uhasselt.be; joan.torregrosa@uab.cat-
local.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr113307-
dc.identifier.doi10.1016/j.jde.2025.113307-
dc.identifier.isi001470618700001-
dc.contributor.orcidTorregrosa, Joan/0000-0002-2753-1827-
local.provider.typewosris-
local.description.affiliation[De Maesschalck, Peter] Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[Torregrosa, Joan] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Barcelona, Spain.-
local.description.affiliation[Torregrosa, Joan] Ctr Recerca Matemat, Campus Bellaterra, Bellaterra 08193, Barcelona, Spain.-
local.uhasselt.internationalyes-
item.contributorDE MAESSCHALCK, Peter-
item.contributorTorregrosa, Joan-
item.fullcitationDE MAESSCHALCK, Peter & Torregrosa, Joan (2025) Limit cycles and critical periods with non-hyperbolic slow-fast systems. In: Journal of Differential Equations, 433 (Art N° 113307).-
item.accessRightsOpen Access-
item.fulltextWith Fulltext-
crisitem.journal.issn0022-0396-
crisitem.journal.eissn1090-2732-
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