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http://hdl.handle.net/2445/67324
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DC Field | Value | Language |
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dc.contributor.author | Canela Sánchez, Jordi | - |
dc.contributor.author | Fagella Rabionet, Núria | - |
dc.contributor.author | Garijo Real, Antonio | - |
dc.date.accessioned | 2015-10-19T08:37:23Z | - |
dc.date.available | 2016-06-17T22:01:19Z | - |
dc.date.issued | 2015-06-17 | - |
dc.identifier.issn | 1023-6198 | - |
dc.identifier.uri | http://hdl.handle.net/2445/67324 | - |
dc.description.abstract | The goal of this paper is to investigate the parameter plane of a rational family of perturbations of the doubling map given by the Blaschke products $B_a(z)=z^3\frac{z-a}{1-\bar{a}z}$. First we study the basic properties of these maps such as the connectivity of the Julia set as a function of the parameter $a$. We use techniques of quasiconformal surgery to explore the relation between certain members of the family and the degree 4 polynomials $\left(\overline{\overline{z}^2+c}\right)^2+c$. In parameter space, we classify the different hyperbolic components according to the critical orbits and we show how to parametrize those of disjoint type. | - |
dc.format.extent | 27 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Taylor and Francis | - |
dc.relation.isformatof | Versió postprint del document publicat a: http://dx.doi.org/10.1080/10236198.2015.1050387 | - |
dc.relation.ispartof | Journal of Difference Equations and Applications, 2015, vol. 21, num. 8, p. 715-741 | - |
dc.relation.uri | http://dx.doi.org/10.1080/10236198.2015.1050387 | - |
dc.rights | (c) Taylor and Francis, 2015 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Sistemes dinàmics diferenciables | - |
dc.subject.classification | Funcions de variables complexes | - |
dc.subject.classification | Dinàmica topològica | - |
dc.subject.classification | Fractals | - |
dc.subject.other | Differentiable dynamical systems | - |
dc.subject.other | Functions of complex variables | - |
dc.subject.other | Topological dynamics | - |
dc.subject.other | Fractals | - |
dc.title | On a family of rational perturbations of the doubling map | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 654852 | - |
dc.date.updated | 2015-10-19T08:37:23Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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654852.pdf | 1.63 MB | Adobe PDF | View/Open |
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