Publication
Study of the Van der Pol Oscillator with Fractional Derivatives
| dc.contributor.author | Barbosa, Ramiro | |
| dc.contributor.author | Tenreiro Machado, J. A. | |
| dc.contributor.author | Vinagre, B. M. | |
| dc.contributor.author | Calderón, A. J. | |
| dc.date.accessioned | 2019-03-29T15:05:27Z | |
| dc.date.available | 2019-03-29T15:05:27Z | |
| dc.date.issued | 2006-04 | |
| dc.description.abstract | In this paper we propose a modified version of the classical Van der Pol oscillator by 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, by using phase portraits, spectral analysis and bifurcation diagrams. The fractional-order dynamics is illustrated through numerical simulations of the proposed schemes by using approximations to fractional-order operators. Finally, the analysis is extended to the forced Van der Pol oscillator. | pt_PT |
| dc.description.version | N/A | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/13246 | |
| dc.language.iso | eng | pt_PT |
| dc.subject | Van der Pol oscillator | pt_PT |
| dc.subject | Fractional-order | pt_PT |
| dc.subject | Fractional-order operators | pt_PT |
| dc.title | Study of the Van der Pol Oscillator with Fractional Derivatives | pt_PT |
| dc.type | conference object | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Ankara, Turkey | pt_PT |
| oaire.citation.endPage | 12 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | International Symposium on Mathematical Methods in Engineering | pt_PT |
| 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 | pt_PT |
| rcaap.type | conferenceObject | pt_PT |
| relation.isAuthorOfPublication | ae867f98-4683-47cf-910d-16d5cd4517ba | |
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| relation.isAuthorOfPublication.latestForDiscovery | ae867f98-4683-47cf-910d-16d5cd4517ba |