Bifurcations analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions: the asymmetric case

Costa, Fernando Pestana da; Méndez, Maria Isabel; Pinto, João Teixeira

Publication

Bifurcations analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions: the asymmetric case

2017-04Journal article

dc.contributor.author	Costa, Fernando Pestana da
dc.contributor.author	Méndez, Maria Isabel
dc.contributor.author	Pinto, João Teixeira
dc.date.accessioned	2017-02-28T16:42:31Z
dc.date.available	2017-02-28T16:42:31Z
dc.date.issued	2017-04
dc.description.abstract	In the paper, Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions (2009 Eur. J. Appl. Math. 20, 269–287) by da Costa et al. the twist-Fréedericksz transition in a nematic liquid-crystal one-dimensional cell of lenght L was studied, imposing an antisymmetric net twist Dirichlet condition at the cell boundaries. In the present paper, we extend that study to the more general case of net twist Dirichlet conditions without any kind of symmetry restrictions. We use phase-plane analysis tools and appropriately defined time maps to obtain the bifurcation diagrams of the model when L is the bifurcation parameter, and related these diagrams with the one in the antisymmetric situation. The stability of the bifurcating solutions is investigated by applying the method of Maginu (1978 J. Math. Anal. Appl. 63, 224–243).	pt_PT
dc.description.version	info:eu-repo/semantics/publishedVersion	pt_PT
dc.identifier.citation	Costa, Fernando Pestana da; Méndez, Maria Isabel; Pinto, João Teixeira - Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions: the asymmetric case. "European Journal of Applied Mathematics" [Em linha]. ISSN 0956-7925 (Print) ISSN 1469-4425 (Online). Vol. 28, nº 2 (2017), p. 243–260	pt_PT
dc.identifier.doi	10.1017/S0956792516000243	pt_PT
dc.identifier.issn	0956-7925
dc.identifier.uri	http://hdl.handle.net/10400.2/6240
dc.language.iso	eng	pt_PT
dc.peerreviewed	yes	pt_PT
dc.publisher	Cambridge University Press	pt_PT
dc.relation.publisherversion	https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/div-classtitlebifurcations-analysis-of-the-twist-freedericksz-transition-in-a-nematic-liquid-crystal-cell-with-pre-twist-boundary-conditions-the-asymmetric-casediv/A059B4CA038CD2CA063B044839BE086C	pt_PT
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/4.0/	pt_PT
dc.subject	Pendulum equation	pt_PT
dc.subject	Liquid crystals	pt_PT
dc.subject	Non-homogeneous Dirichlet boundary value problems	pt_PT
dc.subject	Bifurcation theory	pt_PT
dc.subject	Time maps	pt_PT
dc.subject	Phase plane analysis	pt_PT
dc.subject	Twist-Fréedericksz transition	pt_PT
dc.subject	Liquid crystals	pt_PT
dc.title	Bifurcations analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions: the asymmetric case	pt_PT
dc.type	journal article
dspace.entity.type	Publication
oaire.citation.conferencePlace	Cambridge, UK	pt_PT
oaire.citation.endPage	260	pt_PT
oaire.citation.startPage	243	pt_PT
oaire.citation.title	European Journal of Applied Mathematics	pt_PT
person.familyName	Costa
person.familyName	Teixeira Pinto
person.givenName	Fernando Pestana da
person.givenName	João
person.identifier.ciencia-id	1610-6502-E6C5
person.identifier.orcid	0000-0002-9072-797X
person.identifier.orcid	0000-0003-0190-2113
person.identifier.rid	K-5942-2013
person.identifier.scopus-author-id	14827970300
person.identifier.scopus-author-id	7402584922
rcaap.rights	openAccess	pt_PT
rcaap.type	article	pt_PT
relation.isAuthorOfPublication	72748d24-0598-4f36-804e-87eebd0d06af
relation.isAuthorOfPublication	378f92b2-9a55-4997-b135-4e099cd76d84
relation.isAuthorOfPublication.latestForDiscovery	72748d24-0598-4f36-804e-87eebd0d06af