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Fractional central pattern generators for bipedal locomotion

dc.contributor.authorPinto, Carla M.A.
dc.contributor.authorMachado, J.A.Tenreiro
dc.date.accessioned2014-03-27T15:10:08Z
dc.date.available2014-03-27T15:10:08Z
dc.date.issued2010
dc.description.abstractLocomotion has been a major research issue in the last few years. Many models for the locomotion rhythms of quadrupeds, hexapods, bipeds and other animals have been proposed. This study has also been extended to the control of rhythmic movements of adaptive legged robots. In this paper, we consider a fractional version of a central pattern generator (CPG) model for locomotion in bipeds. A fractional derivative D α f(x), with α non-integer, is a generalization of the concept of an integer derivative, where α=1. The integer CPG model has been proposed by Golubitsky, Stewart, Buono and Collins, and studied later by Pinto and Golubitsky. It is a network of four coupled identical oscillators which has dihedral symmetry. We study parameter regions where periodic solutions, identified with legs’ rhythms in bipeds, occur, for 0<α≤1. We find that the amplitude and the period of the periodic solutions, identified with biped rhythms, increase as α varies from near 0 to values close to unity.por
dc.identifier.doi10.1007/s11071-010-9696-4pt_PT
dc.identifier.issn0924-090X
dc.identifier.issn1573-269X
dc.identifier.urihttp://hdl.handle.net/10400.22/4265
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringerpor
dc.relation.ispartofseriesNonlinear Dynamics; Vol. 62, Issue 1-2
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs11071-010-9696-4por
dc.subjectCentral pattern generatorspor
dc.subjectLocomotionpor
dc.subjectFractionalpor
dc.subjectSymmetrypor
dc.subjectBifurcationpor
dc.titleFractional central pattern generators for bipedal locomotionpor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage37por
oaire.citation.issueIssue 1-2por
oaire.citation.startPage27por
oaire.citation.titleNonlinear Dynamicspor
oaire.citation.volumeVol. 62por
person.familyNamePinto
person.familyNameTenreiro Machado
person.givenNameCarla
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0002-0729-1133
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridJ-5221-2013
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id14326048800
person.identifier.scopus-author-id55989030100
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublicationedfd0bf4-9f73-47ee-817a-860e3d088994
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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