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Breaking and sustaining bifurcations in SN-Invariant equidistant economy

2020Journal article Open access
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dc.contributor.authorAizawa, H.
dc.contributor.authorIkeda, K.
dc.contributor.authorOsawa, M.
dc.contributor.authorGaspar, J. M.
dc.date.accessioned2021-01-21T10:44:08Z
dc.date.available2021-01-21T10:44:08Z
dc.date.issued2020
dc.description.abstractThis paper elucidates the bifurcation mechanism of an equidistant economy in spatial economics. To this end, we derive the rules of secondary and further bifurcations as a major theoretical contribution of this paper. Then we combine them with pre-existing results of direct bifurcation of the symmetric group SN [Elmhirst, 2004]. Particular attention is devoted to the existence of invariant solutions which retain their spatial distributions when the value of the bifurcation parameter changes. Invariant patterns of an equidistant economy under the replicator dynamics are obtained. The mechanism of bifurcations from these patterns is elucidated. The stability of bifurcating branches is analyzed to demonstrate that most of them are unstable immediately after bifurcation. Numerical analysis of spatial economic models confirms that almost all bifurcating branches are unstable. Direct bifurcating curves connect the curves of invariant solutions, thereby creating a mesh-like network, which appears as threads of warp and weft. The theoretical bifurcation mechanism and numerical examples of networks advanced herein might be of great assistance in the study of spatial economics.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationAizawa, H., Ikeda, K., Osawa, M., Gaspar, J. M. (2020). Breaking and sustaining bifurcations in SN-Invariant equidistant economy. International Journal of Bifurcation and Chaos, 30(16), 2050240pt_PT
dc.identifier.doi10.1142/S0218127420502405pt_PT
dc.identifier.eid85098620384
dc.identifier.eissn1793-6551
dc.identifier.issn0218-1274
dc.identifier.urihttp://hdl.handle.net/10400.14/31703
dc.identifier.wos000605662900007
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherWorld Scientific Publishingpt_PT
dc.relation18K04380/18K18874/19K15108pt_PT
dc.relationCEECIND/02741/2017pt_PT
dc.relationCenter for Economics and Finance at the University of Porto
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectBifurcationpt_PT
dc.subjectEquidistant economypt_PT
dc.subjectGroup-theoretic bifurcation theorypt_PT
dc.subjectInvariant patternpt_PT
dc.subjectReplicator dynamicspt_PT
dc.subjectSpatial economic modelpt_PT
dc.subjectStabilitypt_PT
dc.titleBreaking and sustaining bifurcations in SN-Invariant equidistant economypt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Economics and Finance at the University of Porto
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FEGE-ECO%2F30080%2F2017/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04105%2F2020/PT
oaire.citation.issue16pt_PT
oaire.citation.titleInternational Journal of Bifurcation and Chaospt_PT
oaire.citation.volume30pt_PT
oaire.fundingStream3599-PPCDT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameGaspar
person.givenNameJosé
person.identifierF-7196-2015
person.identifier.ciencia-idDB16-ACFE-6CD5
person.identifier.orcid0000-0002-5443-3683
person.identifier.ridF-7196-2015
person.identifier.scopus-author-id55886616500
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication.latestForDiscovery7210e97b-cb81-42f2-b04e-5a16052e568c
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