Publication
Dynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Rodrigues, Alexandre A. P. | |
| dc.date.accessioned | 2023-05-25T11:06:25Z | |
| dc.date.available | 2023-05-25T11:06:25Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | This paper presents a mechanism for the coexistence of hyperbolic and non-hyperbolic dynamics arising in a neighbourhood of a conservative Bykov cycle where trajectories turn in opposite directions near the two saddle-foci. We show that within the class of divergence-free vector fields that preserve the cycle, tangencies of the invariant manifolds of two hyperbolic saddle-foci densely occur. The global dynamics is persistently dominated by heteroclinic tangencies and by the existence of infinitely many elliptic points coexisting with non-uniformly hyperbolic suspended horseshoes. A generalized version of the Cocoon bifurcations for conservative systems is obtained. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | M. Bessa, A. Rodrigues, Dynamics of conservative Bykov cycles: Tangencies, generalized Cocoon bifurcations and elliptic solutions, 261, 2, 1176-1202, 2016 | pt_PT |
| dc.identifier.doi | 10.1016/j.jde.2016.03.040 | pt_PT |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13843 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation | Center of Mathematics and Applications of University of Beira Interior | |
| dc.relation | Centre for Mathematics of the University of Porto | |
| dc.relation | BIFURCAÇÕES GENÉRICAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS | |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S002203961630016X | pt_PT |
| dc.subject | Heteroclinic bifurcations | pt_PT |
| dc.subject | Tangencies | pt_PT |
| dc.subject | Generalized Cocoon bifurcations | pt_PT |
| dc.subject | Chirality | pt_PT |
| dc.subject | Elliptic solutions | pt_PT |
| dc.title | Dynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center of Mathematics and Applications of University of Beira Interior | |
| oaire.awardTitle | Centre for Mathematics of the University of Porto | |
| oaire.awardTitle | BIFURCAÇÕES GENÉRICAS DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00212%2F2013/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00144%2F2013/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT//SFRH%2FBPD%2F84709%2F2012/PT | |
| oaire.citation.endPage | 1202 | pt_PT |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.startPage | 1176 | pt_PT |
| oaire.citation.title | Journal of Differential Equations | pt_PT |
| oaire.citation.volume | 261 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Bessa | |
| person.familyName | Rodrigues | |
| person.givenName | Mário | |
| person.givenName | Alexandre | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.ciencia-id | 7C15-AD8C-4AA7 | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0001-8182-9889 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 2dd300f3-9f00-49de-9333-78ec0511220e | |
| relation.isAuthorOfPublication | 9762e92b-2d18-4613-8916-2c908a01bbce | |
| relation.isAuthorOfPublication.latestForDiscovery | 2dd300f3-9f00-49de-9333-78ec0511220e | |
| relation.isProjectOfPublication | 3acb6818-ea04-40b6-a979-5a80a9419b10 | |
| relation.isProjectOfPublication | d0f7e3e4-c8d9-4ca8-a7ac-f00e2f38132d | |
| relation.isProjectOfPublication | 0323460b-f05e-41b9-9fe2-ee24fcb1affd | |
| relation.isProjectOfPublication.latestForDiscovery | 3acb6818-ea04-40b6-a979-5a80a9419b10 |