| 书目名称 | New Advances on Chaotic Intermittency and its Applications | | 编辑 | Sergio Elaskar,Ezequiel del Río | | 视频video | | | 概述 | Contributes to the state-of-the-art knowledge about chaotic intermittency.Develops three new methodologies to evaluate the reinjection mechanism, with several examples to verify them.Permits to evalua | | 图书封面 |  | | 描述 | .One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data...As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittencytype, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases | | 出版日期 | Book 2017 | | 关键词 | intermittent behavior; reinjection probability density function; laminar length; characteristic exponen | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-47837-1 | | isbn_softcover | 978-3-319-83836-6 | | isbn_ebook | 978-3-319-47837-1 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 17:59:04
