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Dynamics of a differential system using invariant regions

dc.contributor.authorCosta, Fernando Pestana da
dc.date.accessioned2010-07-15T13:08:36Z
dc.date.available2010-07-15T13:08:36Z
dc.date.issued2007
dc.description.abstractThe longtime behaviour of a two dimensional system of ordinary differential equations with singularities is studied using conveniently defined positively invariant sets and auxiliary functions. The approach uses only elementary techniques of phase plane analysis and provides a good geometric insight into the dynamical behaviour of the system. It provides dynamical information analogous to what is usually obtained via centre manifold techniques but does not require the flow to be defined at the limit point.pt
dc.description.sponsorshipPartially supported by Fundação para a Ciência e a Tecnologiapt
dc.identifier.citationCosta, Fernando Pestana da - Dynamics of a differential system using invariant regions. "L'Enseignement Mathematique" [Em linha]. ISSN 0425-0818. Vol. 53, nº 2 (2007), p. 3-14pt
dc.identifier.issn0425-0818
dc.identifier.urihttp://hdl.handle.net/10400.2/1533
dc.language.isoengpt
dc.publisherThe International Commission on Mathematical Instructionpt
dc.subjectOrdinary diferential equationspt
dc.subjectAsymptotic behaviour of solutionspt
dc.subjectInvariant regionspt
dc.titleDynamics of a differential system using invariant regionspt
dc.typepreprint
dspace.entity.typePublication
oaire.citation.endPage14pt
oaire.citation.startPage3pt
oaire.citation.titleL'Enseignement Mathematiquept
person.familyNameCosta
person.givenNameFernando Pestana da
person.identifier.ciencia-id1610-6502-E6C5
person.identifier.orcid0000-0002-9072-797X
person.identifier.ridK-5942-2013
person.identifier.scopus-author-id14827970300
rcaap.rightsopenAccesspt
rcaap.typepreprintpt
relation.isAuthorOfPublication72748d24-0598-4f36-804e-87eebd0d06af
relation.isAuthorOfPublication.latestForDiscovery72748d24-0598-4f36-804e-87eebd0d06af

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