dc.contributor.author |
Canela Sánchez, Jordi |
dc.contributor.author |
Fagella Rabionet, Núria |
dc.contributor.author |
Garijo, Antoni |
dc.date |
2016 |
dc.identifier |
https://ddd.uab.cat/record/169486 |
dc.identifier |
urn:oai:ddd.uab.cat:169486 |
dc.identifier |
urn:gsduab:4383 |
dc.identifier |
urn:articleid:13616544v29p3464 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Economía y Competitividad MTM2011-26995-C02-02 |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-792 |
dc.relation |
Ministerio de Educación y Ciencia AP2009-4564 |
dc.relation |
Nonlinearity ; Vol. 29 (2016), p. 3464-3495 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Blaschke products |
dc.subject |
Circle maps |
dc.subject |
Holomorphic dynamics |
dc.subject |
Tongues |
dc.title |
Tongues in Degree 4 Blaschke Products |
dc.type |
Article |
dc.description.abstract |
Agraïments: grant 346300 for IMPAN from the Simons Foundation |
dc.description.abstract |
The goal of this paper is to investigate the family of Blasche products B_a(z)=z^3-a1- which is a rational family of perturbations of the doubling map. We focus on the tongue-like sets which appear in its parameter plane. We first study their basic topological properties and afterwords we investigate how bifurcations take place in a neighborhood of their tips. Finally we see how the period one tongue extends beyond its natural domain of definition. |