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Titlebook: Weakly Nonlinear Systems; With Applications in Federico Beffa Book‘‘‘‘‘‘‘‘ 2024 The Editor(s) (if applicable) and The Author(s) 2024 Open A

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樓主
發(fā)表于 2025-3-21 18:35:31 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Weakly Nonlinear Systems
副標(biāo)題With Applications in
編輯Federico Beffa
視頻videohttp://file.papertrans.cn/1022/1021371/1021371.mp4
概述Is an open access book.Covers a large class of nonlinear systems with many practical engineering applications.Includes many real-world examples that occur in design of RF and mmW analogue integrated c
叢書名稱Understanding Complex Systems
圖書封面Titlebook: Weakly Nonlinear Systems; With Applications in Federico Beffa Book‘‘‘‘‘‘‘‘ 2024 The Editor(s) (if applicable) and The Author(s) 2024 Open A
描述.The open access book covers a large class of nonlinear systems with many practical engineering applications. The approach is based on the extension of linear systems theory using the Volterra series. In contrast to the few existing treatments, our approach highlights the algebraic structure underlying such systems and is based on Schwartz’s distributions (rather than functions). The use of distributions leads naturally to the convolution algebras of linear time-invariant systems and the ones suitable for weakly nonlinear systems emerge as simple extensions to higher order distributions, without having to resort to ad hoc operators. The result is a much-simplified notation, free of multiple integrals, a conceptual simplification, and the ability to solve the associated nonlinear differential equations in a purely algebraic way. The representation based on distributions not only becomes manifestly power series alike, but it includes power series as the description of the subclass of memory-less, time-invariant, weakly nonlinear systems. With this connection, many results from the theory of power series can be extended to the larger class of weakly nonlinear systems with memory. As a
出版日期Book‘‘‘‘‘‘‘‘ 2024
關(guān)鍵詞Open Access; Nonlinear Systems; Weakly Nonlinear Systems; Dynamical Systems; Compley Systems; Complexity
版次1
doihttps://doi.org/10.1007/978-3-031-40681-2
isbn_softcover978-3-031-40683-6
isbn_ebook978-3-031-40681-2Series ISSN 1860-0832 Series E-ISSN 1860-0840
issn_series 1860-0832
copyrightThe Editor(s) (if applicable) and The Author(s) 2024
The information of publication is updating

書目名稱Weakly Nonlinear Systems影響因子(影響力)




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沙發(fā)
發(fā)表于 2025-3-21 22:09:51 | 只看該作者
https://doi.org/10.1007/978-3-031-40681-2Open Access; Nonlinear Systems; Weakly Nonlinear Systems; Dynamical Systems; Compley Systems; Complexity
板凳
發(fā)表于 2025-3-22 02:20:13 | 只看該作者
978-3-031-40683-6The Editor(s) (if applicable) and The Author(s) 2024
地板
發(fā)表于 2025-3-22 04:43:41 | 只看該作者
5#
發(fā)表于 2025-3-22 11:03:00 | 只看該作者
Convolution of?DistributionsThe convolution product plays a central role in the description of linear and weakly-nonlinear systems. In this chapter we develop its theory based on distributions. In addition, the chapter introduces the tensor product which will also come to play an important role in the description of weakly-nonlinear systems.
6#
發(fā)表于 2025-3-22 15:18:38 | 只看該作者
7#
發(fā)表于 2025-3-22 20:16:22 | 只看該作者
Fourier Transform of?DistributionsThe Fourier transform is a major tool in the analysis of signals and systems. We will see that its extension to distributions will make the derivation of many results simpler and more direct than when working with functions.
8#
發(fā)表于 2025-3-22 21:36:45 | 只看該作者
Fourier Transform of?DistributionsThe Fourier transform is a major tool in the analysis of signals and systems. We will see that its extension to distributions will make the derivation of many results simpler and more direct than when working with functions.
9#
發(fā)表于 2025-3-23 01:27:30 | 只看該作者
Laplace Transform of?DistributionsThe classic Laplace transform is closely related to the Fourier one and has similar properties. In a way it can be seen as a modification of the latter in such a way that it can handle exponentially growing functions.
10#
發(fā)表于 2025-3-23 09:07:12 | 只看該作者
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