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| Pàgina inicial > Articles > Articles publicats > A numerical estimate of the regularity of a family of Strange non-chaotic Attractors |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universitat Autònoma de Barcelona. Departament de Matemàtiques)| Data: | 2017 |
| Resum: | 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. |
| Ajuts: | 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 |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Quasiperiodically forced system ; Regularity ; Wavelets |
| Publicat a: | Physica D. Nonlinear phenomena, Vol. 347 (May 2017) , p. 74-89, ISSN 0167-2789 |
31 p, 777.3 KB |
