Robust homoclinic orbits in planar systems with Preisach hysteresis operator

Pimenov, Alexander; Rachinskii, Dmitrii

doi:https://doi.org/10.34657/3103

Robust homoclinic orbits in planar systems with Preisach hysteresis operator

dc.bibliographicCitation.seriesTitle	WIAS Preprints	eng
dc.bibliographicCitation.volume	1994
dc.contributor.author	Pimenov, Alexander
dc.contributor.author	Rachinskii, Dmitrii
dc.date.accessioned	2016-03-24T17:37:01Z
dc.date.available	2019-06-28T08:12:10Z
dc.date.issued	2014
dc.description.abstract	We construct examples of robust homoclinic orbits for systems of ordinary differential equations coupled with the Preisach hysteresis operator. Existence of such orbits is demonstrated for the first time. We discuss a generic mechanism that creates robust homoclinic orbits and a method for finding them. An example of a homoclinic orbit in a population dynamics model with hysteretic response of the prey to variations of the predator is studied numerically.
dc.description.version	submittedVersion	eng
dc.format	application/pdf
dc.identifier.issn	2198-5855
dc.identifier.uri	https://doi.org/10.34657/3103
dc.identifier.uri	https://oa.tib.eu/renate/handle/123456789/2853
dc.language.iso	eng	eng
dc.publisher	Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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	Robust homoclinic orbit	eng
dc.subject.other	Operator-differential equations	eng
dc.subject.other	predator-prey model	eng
dc.title	Robust homoclinic orbits in planar systems with Preisach hysteresis operator
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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