Publicação
Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
| Resumo: | An abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study. |
|---|---|
| Autores principais: | Martins, Rogério |
| Outros Autores: | Morais, Gonçalo |
| Assunto: | coupled oscillators synchronization invariant manifolds |
| Ano: | 2015 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Instituto Politécnico de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório Científico do Instituto Politécnico de Lisboa |
| _version_ | 1866887643073085440 |
|---|---|
| author | Martins, Rogério |
| author2 | Morais, Gonçalo |
| author2_role | author |
| author_facet | Martins, Rogério Morais, Gonçalo |
| author_role | author |
| contributor_name_str_mv | RCIPL |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Martins, Rogério\"},{\"Person.name\":\"Morais, Gonçalo\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | RCIPL |
| datacite.creators.creator.creatorName.fl_str_mv | Martins, Rogério Morais, Gonçalo |
| datacite.date.Accepted.fl_str_mv | 2015-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2016-04-14T15:38:25Z |
| datacite.date.embargoed.fl_str_mv | 2016-04-14T15:38:25Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | coupled oscillators synchronization invariant manifolds |
| datacite.titles.title.fl_str_mv | Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium |
| dc.contributor.none.fl_str_mv | RCIPL |
| dc.creator.none.fl_str_mv | Martins, Rogério Morais, Gonçalo |
| dc.date.Accepted.fl_str_mv | 2015-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2016-04-14T15:38:25Z |
| dc.date.embargoed.fl_str_mv | 2016-04-14T15:38:25Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10400.21/5981 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | KYBERNETIKA |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | coupled oscillators synchronization invariant manifolds |
| dc.title.fl_str_mv | Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | An abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorio.ipl.pt/bitstreams/8c036332-fb30-492f-a589-4aee95e06b57/download |
| funding.funder.alternateName_str_mv | FCT FCT |
| funding.funder.identifier_str_mv | http://doi.org/10.13039/501100001871 http://doi.org/10.13039/501100001871 |
| funding.funder.name_str_mv | Fundação para a Ciência e a Tecnologia Fundação para a Ciência e a Tecnologia |
| funding.name_str_mv | 6817 - DCRRNI ID 3599-PPCDT |
| id | ripl_2e7cee47e2b4973332550eeb60e7bcbb |
| identifier.url.fl_str_mv | http://hdl.handle.net/10400.21/5981 |
| instacron_str | ipl |
| institution | Instituto Politécnico de Lisboa |
| instname_str | Instituto Politécnico de Lisboa |
| language | eng |
| network_acronym_str | ripl |
| network_name_str | Repositório Científico do Instituto Politécnico de Lisboa |
| oai_identifier_str | oai:repositorio.ipl.pt:10400.21/5981 |
| organization_str_mv | urn:organizationAcronym:ipl |
| person_str_mv | Martins, Rogério Morais, Gonçalo |
| publishDate | 2015 |
| publisher.none.fl_str_mv | KYBERNETIKA |
| reponame_str | Repositório Científico do Instituto Politécnico de Lisboa |
| repository_id_str | urn:repositoryAcronym:ripl |
| service_str_mv | urn:repositoryAcronym:ripl |
| spelling | engKYBERNETIKApt_PTAn abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study.application/pdfpt_PTGeneralized synchronization in a system of several non-autonomous oscillators coupled by a mediumMartins, RogérioMorais, GonçaloHostingInstitutionOrganizationalRCIPLe-mailmailto:rcaap@sp.ipl.ptrcaap@sp.ipl.ptISSNIsPartOf0023-59542016-04-14T15:38:25Z20152015-01-01T00:00:00ZHandlehttp://hdl.handle.net/10400.21/5981http://purl.org/coar/access_right/c_abf2open accesscoupled oscillatorssynchronizationinvariant manifolds442210 bytesFundação para a Ciência e a TecnologiaStrategic Project - UI 297 - 2011-20126817 - DCRRNI IDCrossref Funder IDhttp://doi.org/10.13039/501100001871Fundação para a Ciência e a TecnologiaNonlnear dynamics of ordinary differential equations and applications3599-PPCDTCrossref Funder IDhttp://doi.org/10.13039/501100001871literaturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorio.ipl.pt/bitstreams/8c036332-fb30-492f-a589-4aee95e06b57/download512347373 |
| spellingShingle | Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium Martins, Rogério coupled oscillators synchronization invariant manifolds |
| status | SINGLETON |
| subject.fl_str_mv | coupled oscillators synchronization invariant manifolds |
| title | Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium |
| title_full | Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium |
| title_fullStr | Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium |
| title_full_unstemmed | Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium |
| title_short | Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium |
| title_sort | Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium |
| topic | coupled oscillators synchronization invariant manifolds |
| topic_facet | coupled oscillators synchronization invariant manifolds |
| url | http://hdl.handle.net/10400.21/5981 |
| visible | 1 |