Pulses in FitzHugh-Nagumo systems with rapidly oscillating coefficients
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2413 | |
| dc.contributor.author | Gurevich, Pavel | |
| dc.contributor.author | Reichelt, Sina | |
| dc.date.accessioned | 2017-09-27T00:59:22Z | |
| dc.date.available | 2019-06-28T08:02:42Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | This paper is devoted to pulse solutions in FitzHughNagumo systems that are coupled parabolic equations with rapidly periodically oscillating coefficients. In the limit of vanishing periods, there arises a two-scale FitzHughNagumo system, which qualitatively and quantitatively captures the dynamics of the original system. We prove existence and stability of pulses in the limit system and show their proximity on any finite time interval to pulse-like solutions of the original system. | |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/3023 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1899 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2413 | |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.subject.ddc | 510 | |
| dc.subject.other | Traveling waves | eng |
| dc.subject.other | pulse solutions | eng |
| dc.subject.other | FitzHugh–Nagumo system | eng |
| dc.subject.other | two-scale convergence | eng |
| dc.subject.other | spectral decomposition | eng |
| dc.subject.other | semigroups | eng |
| dc.title | Pulses in FitzHugh-Nagumo systems with rapidly oscillating coefficients | |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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