Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1849 | |
| dc.contributor.author | Pimenov, Alexander | |
| dc.contributor.author | Rachinskii, Dmitrii | |
| dc.date.accessioned | 2016-03-24T17:37:47Z | |
| dc.date.available | 2019-06-28T08:21:16Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | Systems of operator-differential equations which hysteresis operators can have unstable equilibrium points with an open basin of attraction. In this paper, a numerical example of a robust homoclinic loop is presented for the first time in a population dynamics model with hysteretic response of prey to variations of predator. A mechanism creating this homoclinic trajectory is discussed. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/2514 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3283 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| 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.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.subject.ddc | 510 | eng |
| dc.subject.other | Robust homoclinic orbit | eng |
| dc.subject.other | Preisach operator | eng |
| dc.subject.other | operator-differential equations | eng |
| dc.subject.other | predator-prey model | eng |
| dc.title | Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator | eng |
| 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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