dc.contributor.author |
Zafar, Sundus |
dc.contributor.author |
Cimà, Anna |
dc.date |
2019 |
dc.identifier |
https://ddd.uab.cat/record/221374 |
dc.identifier |
10.1007/s12346-018-0304-1 |
dc.identifier |
oai:ddd.uab.cat:221374 |
dc.identifier |
85069541759 |
dc.identifier |
1662-3592v18n2p631 |
dc.identifier |
4541 |
dc.identifier |
oai:egreta.uab.cat:publications/a6ff6d36-b406-437c-a889-cde858f1bbf8 |
dc.identifier |
000476518900015 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Economía y Competitividad MTM2016-77278 |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 |
dc.relation |
Qualitative Theory of Dynamical Systems ; Vol. 18, Issue 2 (August 2019), p. 631-652 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Birational maps |
dc.subject |
Algebraic entropy |
dc.subject |
First Integrals |
dc.subject |
Fibrations |
dc.subject |
Blowing-up |
dc.subject |
Integrability |
dc.subject |
Periodicity |
dc.subject |
Chaos |
dc.title |
Dynamical classification of a family of birational maps of C2 via algebraic entropy |
dc.type |
Article |
dc.description.abstract |
This work dynamically classifies a 9-parametric family of birational maps f: C→ C. From the sequence of the degrees d of the iterates of f, we find the dynamical degree δ(f) of f. We identify when d grows periodically, linearly, quadratically or exponentially. The considered family includes the birational maps studied by Bedford and Kim (Mich Math J 54:647-670, 2006) as one of its subfamilies. |