Dynamical classification of a family of birational maps of C2 via algebraic entropy
Zafar, Sundus (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2019
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.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Birational maps ; Algebraic entropy ; First Integrals ; Fibrations ; Blowing-up ; Integrability ; Periodicity ; Chaos
Published in:	Qualitative theory of dynamical systems, Vol. 18, Issue 2 (August 2019) , p. 631-652, ISSN 1662-3592

DOI: 10.1007/s12346-018-0304-1

Postprint 26 p, 414.4 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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