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Please use this identifier to cite or link to this item: https://doi.org/10.3934/dcds.2020262
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dc.titleThe mandelbrot set is the shadow of a julia set
dc.contributor.authorBerteloot, F.
dc.contributor.authorDinh, T.-C.
dc.date.accessioned2021-08-25T14:09:43Z
dc.date.available2021-08-25T14:09:43Z
dc.date.issued2020
dc.identifier.citationBerteloot, F., Dinh, T.-C. (2020). The mandelbrot set is the shadow of a julia set. Discrete and Continuous Dynamical Systems- Series A 40 (12) : 6611-6633. ScholarBank@NUS Repository. https://doi.org/10.3934/dcds.2020262
dc.identifier.issn10780947
dc.identifier.urihttps://scholarbank.nus.edu.sg/handle/10635/199319
dc.description.abstractWorking within the polynomial quadratic family, we introduce a new point of view on bifurcations which naturally allows to see the set of bifurcations as the projection of a Julia set of a complex dynamical system in dimension three. We expect our approach to be extendable to other holomorphic families of dynamical systems. © 2020 American Institute of Mathematical Sciences. All rights reserved.
dc.publisherAmerican Institute of Mathematical Sciences
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceScopus OA2020
dc.subjectBifurcation
dc.subjectEquilibrium measure
dc.subjectGreen current
dc.subjectJulia set
dc.subjectMandelbrot set
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.3934/dcds.2020262
dc.description.sourcetitleDiscrete and Continuous Dynamical Systems- Series A
dc.description.volume40
dc.description.issue12
dc.description.page6611-6633
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