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Titlebook: New Advances on Chaotic Intermittency and its Applications; Sergio Elaskar,Ezequiel del Río Book 2017 Springer International Publishing AG

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發(fā)表于 2025-3-21 17:59:04 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)New Advances on Chaotic Intermittency and its Applications
編輯Sergio Elaskar,Ezequiel del Río
視頻videohttp://file.papertrans.cn/665/664763/664763.mp4
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
圖書(shū)封面Titlebook: New Advances on Chaotic Intermittency and its Applications;  Sergio Elaskar,Ezequiel del Río Book 2017 Springer International Publishing AG
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
關(guān)鍵詞intermittent behavior; reinjection probability density function; laminar length; characteristic exponen
版次1
doihttps://doi.org/10.1007/978-3-319-47837-1
isbn_softcover978-3-319-83836-6
isbn_ebook978-3-319-47837-1
copyrightSpringer International Publishing AG 2017
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Sergio Elaskar,Ezequiel del Ríoansaction, from the time of initial presentation to the time of termina- tion or follow-up. This method of organizing information about a person, his problems and resources, and the nature of the psychotherapeutic transaction provides the therapist with a powerful tool with which to both understand
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Sergio Elaskar,Ezequiel del Ríoansaction, from the time of initial presentation to the time of termina- tion or follow-up. This method of organizing information about a person, his problems and resources, and the nature of the psychotherapeutic transaction provides the therapist with a powerful tool with which to both understand
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ytype, 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 978-3-319-83836-6978-3-319-47837-1
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Application to Dynamical Systems. An Example with Discontinuous RPD: The Derivative Nonlinear Schroterval lower limit. On the other hand, the characteristic relation, ., was found. Then, the characteristic relation for classical type-I intermittency holds although the RPD is not uniform. Also, the elevated density close to the lower limit of the laminar interval increases the average laminar leng
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Book 2017ular 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
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