| 書(shū)目名稱(chēng) | Dynamics with Chaos and Fractals | | 編輯 | Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily | | 視頻video | http://file.papertrans.cn/285/284220/284220.mp4 | | 概述 | Stands as the first book presenting theoretical background on the unpredictable point and mapping of fractals.Introduces the concepts of unpredictable functions, abstract self-similarity, and similari | | 叢書(shū)名稱(chēng) | Nonlinear Systems and Complexity | | 圖書(shū)封面 |  | | 描述 | .The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested. . | | 出版日期 | Book 2020 | | 關(guān)鍵詞 | Chaos and fractals; differential equations; difference equations; chaos generation; chaos control; extens | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-35854-9 | | isbn_softcover | 978-3-030-35856-3 | | isbn_ebook | 978-3-030-35854-9Series ISSN 2195-9994 Series E-ISSN 2196-0003 | | issn_series | 2195-9994 | | copyright | Springer Nature Switzerland AG 2020 |
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