Publication
A note on fractional feed-forward networks
| dc.contributor.author | Pinto, Carla M.A. | |
| dc.date.accessioned | 2017-01-17T11:14:01Z | |
| dc.date.embargo | 2116 | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We simulate a fractional feed-forward network. This network consists of three coupled identical ‘cells’ (aka, oscillators). We study the behaviour of the associated coupled cell system for variation of the order of the fractional derivative, 0 < α < 1. We consider the Caputo derivative, approximated by the Grünwald–Letnikov approach, using finite differences of fractional order. There is observed amplification of the small signals by exploiting the nonlinear response of each oscillator near its intrinsic Hopf bifurcation point for each value of α. The value of the Hopf bifurcation point varies with the order of the fractional derivative α. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1002/mma.3817 | pt_PT |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/9283 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Wiley | pt_PT |
| dc.relation.ispartofseries | Mathematical Methods in the Applied Sciences;Special Issue | |
| dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1002/mma.3817/abstract | pt_PT |
| dc.subject | Nonlinear oscillator network | pt_PT |
| dc.subject | Fractional systems | pt_PT |
| dc.subject | Feed-forward network | pt_PT |
| dc.subject | Amplification of signals | pt_PT |
| dc.title | A note on fractional feed-forward networks | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 5 | pt_PT |
| oaire.citation.issue | Special Issue | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | Mathematical Methods in the Applied Sciences | pt_PT |
| person.familyName | Pinto | |
| person.givenName | Carla | |
| person.identifier.orcid | 0000-0002-0729-1133 | |
| person.identifier.rid | J-5221-2013 | |
| person.identifier.scopus-author-id | 14326048800 | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | edfd0bf4-9f73-47ee-817a-860e3d088994 | |
| relation.isAuthorOfPublication.latestForDiscovery | edfd0bf4-9f73-47ee-817a-860e3d088994 |