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.
展开▼
机译：我们从数字上估计了与C. Grebogy等人研究的模型之一相关的奇怪的非混沌吸引子族的正则性。 （1984）（另见G. Keller（1996））。为了估计这些规律性，我们本着R. de la Llave等人的精神使用小波分析。 （2002年）以及一些我们开发的特殊技术来克服在将方法应用于我们考虑的特定家庭时出现的理论困难。这些困难主要是由于以下事实：我们对吸引子没有明确的公式，并且对于某些参数值，它几乎在任何地方都是不连续的。具体地，我们提出一种基于快速小波变换的算法。还对小波系数和规律性估计进行了质量检查。
展开▼
