Publication
Bounded domains of negative multipliers
| dc.contributor.author | Johnson, Charles | |
| dc.contributor.author | Morais, Gonçalo | |
| dc.date.accessioned | 2019-08-29T08:41:14Z | |
| dc.date.available | 2019-08-29T08:41:14Z | |
| dc.date.issued | 2019-11-01 | |
| dc.description.abstract | A natural problem associated with coupling of non-autonomous oscillators and synchronization is described. It leads to a question about the boundedness of a domain associated with a derived quadratic form. Properties of real symmetric matrices with bounded domains are developed, and unboundedness is translated into satisfiability of a certain Lyapunov-like matrix form. Eventually the real symmetric matrices associated with unbounded domains are explicitly characterized in terms of inertia explicit matrices. A consequence of the characterization is that large, irreducible matrices are likely to have bounded domains. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | JOHNSON, Charles; MORAIS, Gonçalo – Bounded domains of negative multipliers. Journal of Mathematical Analysis and Applications. ISSN 0022-247X. Vol. 479, N.º 1 (2019), pp. 926-940 | pt_PT |
| dc.identifier.doi | 10.1016/j.jmaa.2019.06.058 | pt_PT |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/10435 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation | PEst-OE/MAT/U10297/2011 - CMA/FCT/UNL | pt_PT |
| dc.relation | Nonlnear dynamics of ordinary differential equations and applications | |
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| dc.subject | Inertia explicit | pt_PT |
| dc.subject | Lyapunov equation | pt_PT |
| dc.subject | Coupled oscillators | pt_PT |
| dc.subject | Synchronization | pt_PT |
| dc.title | Bounded domains of negative multipliers | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Nonlnear dynamics of ordinary differential equations and applications | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT%2F113383%2F2009/PT | |
| oaire.citation.endPage | 940 | pt_PT |
| oaire.citation.issue | 1 | pt_PT |
| oaire.citation.startPage | 926 | pt_PT |
| oaire.citation.title | Journal of Mathematical Analysis and Applications | pt_PT |
| oaire.citation.volume | 479 | pt_PT |
| oaire.fundingStream | 3599-PPCDT | |
| person.familyName | Morais | |
| person.givenName | Gonçalo | |
| person.identifier.ciencia-id | A211-0669-6A6F | |
| person.identifier.orcid | 0000-0002-0285-3379 | |
| person.identifier.scopus-author-id | 56652080000 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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