A numerical estimate of the regularity of a family of Strange non-chaotic Attractors
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 so...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2017 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:199319 |
| Acesso em linha: | https://ddd.uab.cat/record/199319 https://dx.doi.org/urn:doi:10.1016/j.physd.2016.12.006 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Quasiperiodically forced system Regularity Wavelets |
| Resumo: | 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. |
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