A numerical estimate of the regularity of a family of Strange non-chaotic Attractors
Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mondelo González, José María (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Romero, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2017
Abstract:	We estimate numerically the regularities of a family of Strange Non-Chaotic Attractors related with one of the models studied in C. Grebogy et al. (1984) (see also G. Keller (1996)). To estimate these regularities we use wavelet analysis in the spirit of R. de la Llave et al. (2002) together with some ad-hoc techniques that we develop to overcome the theoretical difficulties that arise in the application of the method to the particular family that we consider. These difficulties are mainly due to the facts that we do not have an explicit formula for the attractor and it is discontinuous almost everywhere for some values of the parameters. Concretely we propose an algorithm based on the Fast Wavelet Transform. Also a quality check of the wavelet coefficients and regularity estimates is done.
Grants:	Ministerio de Economía y Competitividad MTM2014-52209-C2-1-P Ministerio de Economía y Competitividad MTM2011-26995-C02-01 Ministerio de Economía y Competitividad MTM2008-01486
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Quasiperiodically forced system ; Regularity ; Wavelets
Published in:	Physica D. Nonlinear phenomena, Vol. 347 (May 2017) , p. 74-89, ISSN 0167-2789

DOI: 10.1016/j.physd.2016.12.006

Postprint 31 p, 777.3 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles