| 书目名称 | Weakly Nonlinear Systems |
| 副标题 | With Applications in |
| 编辑 | Federico Beffa |
| 视频video | |
| 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 |
| 丛书名称 | Understanding Complex Systems |
| 图书封面 |  |
| 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 |
| 关键词 | Open Access; Nonlinear Systems; Weakly Nonlinear Systems; Dynamical Systems; Compley Systems; Complexity |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-40681-2 |
| isbn_softcover | 978-3-031-40683-6 |
| isbn_ebook | 978-3-031-40681-2Series ISSN 1860-0832 Series E-ISSN 1860-0840 |
| issn_series | 1860-0832 |
| copyright | The Editor(s) (if applicable) and The Author(s) 2024 |
发表于 2025-3-21 18:35:31
