书目名称 | Lectures on Nonlinear Dynamics | 编辑 | José Roberto Castilho Piqueira,Carlos Eduardo Nigr | 视频video | | 概述 | Interconnected chapters covering diverse topics from theory to applications.In-depth Analysis of nonlinear dynamics, normal modes, chaos theory, and more.Bridges theory and application for dynamic int | 丛书名称 | Understanding Complex Systems | 图书封面 |  | 描述 | .This book presents a compilation of lectures delivered at the São Paulo School of Advanced Sciences on Nonlinear Dynamics, categorized into four groups: parametric resonance, nonlinear modal analysis and model reduction, synchronization, and strongly nonlinear dynamics. Interwoven seamlessly, these groups cover a wide range of topics, from fundamental concepts to practical applications, catering to both introductory and advanced readers. The first group, consisting of chapters 1 and 2, serves as an introduction to the theory of parametric resonance and the dynamics of parametrically excited slender structures. Chapters 3, 4, and 5 form the second group, offering insights into normal forms, nonlinear normal modes, and nonlinear system identification. Chapters 6 and 7 delve into asynchronous modes of structural vibration and master-slave topologies for time signal distribution within synchronous systems, respectively, representing the third group. Finally, the last four chapters tackle the fourth group, exploring nonlinear dynamics of variable mass oscillators, advanced analytical methods for strong nonlinear vibration problems, chaos theory, and dynamic integrity from the perspecti | 出版日期 | Book 2024 | 关键词 | Nonlinear Dynamics; Lecture Notes; Conservative Systems; Variable Mass Oscillators; Dynamical Integrity; | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-45101-0 | isbn_softcover | 978-3-031-45103-4 | isbn_ebook | 978-3-031-45101-0Series ISSN 1860-0832 Series E-ISSN 1860-0840 | issn_series | 1860-0832 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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