Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/16392
Full metadata record
DC FieldValueLanguage
dc.contributor.authorKUTAFINA, Ekaterina-
dc.date.accessioned2014-03-06T08:10:28Z-
dc.date.available2014-03-06T08:10:28Z-
dc.date.issued2015-
dc.identifier.citationComputational and Applied Mathematics, 34 (1), p. 81-92-
dc.identifier.issn0377-0427-
dc.identifier.urihttp://hdl.handle.net/1942/16392-
dc.description.abstractFollowing the paper of Shimizu et al. (Phys Lett A 375:1566, 2011), we consider the Bonhoeffer-van der Pol oscillator with non-autonomous periodic perturbation. We show that the presence of mixed mode oscillations reported in that paper can be explained using the geometric singular perturbation theory. The considered model can be re-written as a four-dimensional (locally three-dimensional) autonomous system, which under certain conditions has a folded saddle-node singularity and additionally can be treated as a three time scale one.-
dc.description.sponsorshipAuthor is very grateful to prof. Peter De Maesschalck for many stimulating discussions. The presented research was supported by the Research Foundation Flanders (FWO) under grant number G.0939.10N and by Polish Ministry of Science and Higher Education.-
dc.language.isoen-
dc.rights© The Author(s) 2013. This article is published with open access at Springerlink.com.-
dc.subject.otherfolded saddle-node; three time scale system; mixed mode oscillation; singular perturbation; canard-
dc.titleMixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation-
dc.typeJournal Contribution-
dc.identifier.epage92-
dc.identifier.issue1-
dc.identifier.spage81-
dc.identifier.volume34-
local.bibliographicCitation.jcatA1-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1007/s40314-013-0105-8-
dc.identifier.isi000351873600006-
dc.identifier.urlhttp://download.springer.com/static/pdf/280/art%253A10.1007%252Fs40314-013-0105-8.pdf?auth66=1394008700_aa696697624fe8277718d1c2b7a669cb&ext=.pdf-
item.fulltextWith Fulltext-
item.contributorKUTAFINA, Ekaterina-
item.accessRightsOpen Access-
item.fullcitationKUTAFINA, Ekaterina (2015) Mixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation. In: Computational and Applied Mathematics, 34 (1), p. 81-92.-
item.validationecoom 2016-
crisitem.journal.issn0377-0427-
crisitem.journal.eissn1879-1778-
Appears in Collections:Research publications
Files in This Item:
File Description SizeFormat 
BvdP.pdf1.14 MBAdobe PDFView/Open
kutafina 1.pdf
  Restricted Access		Published version1.12 MBAdobe PDFView/Open    Request a copy
Show simple item record

SCOPUSTM   
Citations

9
checked on Sep 3, 2020

WEB OF SCIENCETM
Citations

22
checked on Apr 22, 2024

Page view(s)

94
checked on Sep 6, 2022

Download(s)

146
checked on Sep 6, 2022

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.