Dynamics of hierarchical weighted networks of van der Pol oscillators

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorMonsivais-Velazquez, Daniel
dc.contributor.authorBhattacharya, Kunal
dc.contributor.authorBarrio, Rafael A.
dc.contributor.authorMaini, Philip K.
dc.contributor.authorKaski, Kimmo K.
dc.contributor.departmentKaski Kimmo group
dc.contributor.departmentDepartment of Industrial Engineering and Management
dc.contributor.departmentUniversidad Nacional Autónoma de México
dc.contributor.departmentUniversity of Oxford
dc.contributor.departmentDepartment of Computer Scienceen
dc.date.accessioned2021-01-25T10:15:37Z
dc.date.available2021-01-25T10:15:37Z
dc.date.issued2020-12-01
dc.description| openaire: EC/H2020/654024/EU//SoBigData
dc.description.abstractWe investigate the dynamics of regular fractal-like networks of hierarchically coupled van der Pol oscillators. The hierarchy is imposed in terms of the coupling strengths or link weights. We study the low frequency modes, as well as frequency and phase synchronization, in the network by a process of repeated coarse-graining of oscillator units. At any given stage of this process, we sum over the signals from the oscillator units of a clique to obtain a new oscillating unit. The frequencies and the phases for the coarse-grained oscillators are found to progressively synchronize with the number of coarse-graining steps. Furthermore, the characteristic frequency is found to decrease and finally stabilize to a value that can be tuned via the parameters of the system. We compare our numerical results with those of an approximate analytic solution and find good qualitative agreement. Our study on this idealized model shows how oscillations with a precise frequency can be obtained in systems with heterogeneous couplings. It also demonstrates the effect of imposing a hierarchy in terms of link weights instead of one that is solely topological, where the connectivity between oscillators would be the determining factor, as is usually the case.en
dc.description.versionPeer revieweden
dc.format.extent10
dc.format.mimetypeapplication/pdf
dc.identifier.citationMonsivais-Velazquez , D , Bhattacharya , K , Barrio , R A , Maini , P K & Kaski , K K 2020 , ' Dynamics of hierarchical weighted networks of van der Pol oscillators ' , Chaos , vol. 30 , no. 12 , 123146 . https://doi.org/10.1063/5.0010638en
dc.identifier.doi10.1063/5.0010638
dc.identifier.issn1054-1500
dc.identifier.issn1089-7682
dc.identifier.otherPURE UUID: 9bb19fcf-aeef-45a8-be8d-2fdc7bf94e1e
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/9bb19fcf-aeef-45a8-be8d-2fdc7bf94e1e
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dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/55373108/Monsivais_Velazquez_Dynamics.5.0010638_1.pdf
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/102218
dc.identifier.urnURN:NBN:fi:aalto-202101251528
dc.language.isoenen
dc.publisherAmerican Institute of Physics Publising LLC
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/654024/EU//SoBigData
dc.relation.ispartofseriesCHAOSen
dc.relation.ispartofseriesVolume 30, issue 12en
dc.rightsopenAccessen
dc.titleDynamics of hierarchical weighted networks of van der Pol oscillatorsen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionpublishedVersion

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