Publicação
Analysis of the Van der Pol oscillator containing derivatives of fractional order
| dc.contributor.author | Barbosa, Ramiro S. | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.contributor.author | Vinagre, B. M. | |
| dc.contributor.author | Calderón, A. J. | |
| dc.date.accessioned | 2014-06-25T11:14:29Z | |
| dc.date.available | 2014-06-25T11:14:29Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | In this paper a modified version of the classical Van der Pol oscillator is proposed, introducing fractional-order time derivatives into the state-space model. The resulting fractional-order Van der Pol oscillator is analyzed in the time and frequency domains, using phase portraits, spectral analysis and bifurcation diagrams. The fractional-order dynamics is illustrated through numerical simulations of the proposed schemes using approximations to fractional-order operators. Finally, the analysis is extended to the forced Van der Pol oscillator. | por |
| dc.identifier.doi | 10.1177/1077546307077463 | pt_PT |
| dc.identifier.issn | 1077-5463 | |
| dc.identifier.issn | 1741-2986 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/4576 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | SAGE Publications | por |
| dc.relation.ispartofseries | Journal of Vibration and Control; Vol. 13, Issues 9-10 | |
| dc.relation.publisherversion | http://jvc.sagepub.com/content/13/9-10/1291.abstract | por |
| dc.subject | Fractional calculus | por |
| dc.subject | Van der Pol oscillator | por |
| dc.subject | Nonlinear oscillators | por |
| dc.subject | Fractional order operators | por |
| dc.title | Analysis of the Van der Pol oscillator containing derivatives of fractional order | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 1301 | por |
| oaire.citation.issue | Issues 9-10 | por |
| oaire.citation.startPage | 1291 | por |
| oaire.citation.title | Journal of Vibration and Control | por |
| oaire.citation.volume | Vol. 13 | por |
| person.familyName | Barbosa | |
| person.familyName | Tenreiro Machado | |
| person.givenName | Ramiro | |
| person.givenName | J. A. | |
| person.identifier | 156328 | |
| person.identifier.ciencia-id | 9F1E-CA64-4C8B | |
| person.identifier.ciencia-id | 7A18-4935-5B29 | |
| person.identifier.orcid | 0000-0001-7410-8872 | |
| person.identifier.orcid | 0000-0003-4274-4879 | |
| person.identifier.rid | M-2173-2013 | |
| person.identifier.scopus-author-id | 8582675300 | |
| person.identifier.scopus-author-id | 55989030100 | |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
| relation.isAuthorOfPublication | ae867f98-4683-47cf-910d-16d5cd4517ba | |
| relation.isAuthorOfPublication | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
| relation.isAuthorOfPublication.latestForDiscovery | ae867f98-4683-47cf-910d-16d5cd4517ba |