Fractal attractors and singular invariant measures in two-sector growth models with random factor shares

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dc.contributor.authorLa Torre, Davide
dc.contributor.authorMarsiglio, Simone
dc.contributor.authorMendivil, Franklin
dc.contributor.authorPrivileggi, Fabio
dc.creatorDavide, La Torre
dc.date.accessioned2017-12-22T03:44:17Z
dc.date.available2017-12-22T03:44:17Z
dc.date.issued2018-05-01
dc.description.abstractAbstract We analyze a multi-sector growth model subject to random shocks affecting the two sector-specific production functions twofold: the evolution of both productivity and factor shares is the result of such exogenous shocks. We determine the optimal dynamics via Euler–Lagrange equations, and show how these dynamics can be described in terms of an iterated function system with probability. We also provide conditions that imply the singularity of the invariant measure associated with the fractal attractor. Numerical examples show how specific parameter configurations might generate distorted copies of the Barnsley’s fern attractor.en_US
dc.identifierDOI:10.1016/j.cnsns.2017.07.008
dc.identifier.citationDavide La Torre, Simone Marsiglio, Franklin Mendivil, Fabio Privileggi, Fractal attractors and singular invariant measures in two-sector growth models with random factor shares, In Communications in Nonlinear Science and Numerical Simulation, Volume 58, 2018, Pages 185-201en_US
dc.identifier.issn10075704
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S1007570417302514
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/3021
dc.language.isoenen_US
dc.publisherCommunications in Nonlinear Science and Numerical Simulationen_US
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.rights.license© 2017 Elsevier B.V. All rights reserved.
dc.subjectTwo-sector growth modelen_US
dc.subjectStochastic factor sharesen_US
dc.subjectFractal attractorsen_US
dc.subjectSingular measuresen_US
dc.titleFractal attractors and singular invariant measures in two-sector growth models with random factor sharesen_US
dc.typeArticleen_US
elsevier.aggregationtypeJournal
elsevier.coverdate2018-05-01
elsevier.coverdisplaydateMay 2018
elsevier.endingpage201
elsevier.identifier.doi10.1016/j.cnsns.2017.07.008
elsevier.identifier.eid1-s2.0-S1007570417302514
elsevier.identifier.piiS1007-5704(17)30251-4
elsevier.identifier.scopusid85025132579
elsevier.issue.nameSpecial Issue on "Dynamic Models in Economics and Finance"
elsevier.openaccess0
elsevier.openaccessarticlefalse
elsevier.openarchivearticlefalse
elsevier.startingpage185
elsevier.teaserWe analyze a multi-sector growth model subject to random shocks affecting the two sector-specific production functions twofold: the evolution of both productivity and factor shares is the result of...
elsevier.volume58
workflow.import.sourcescience

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