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nexusstc/Two-Dimensional Quadratic Nonlinear Systems: Volume I: Univariate Vector Fields/86dd71db8ffb89defaaba7a448d98831.epub
Two-Dimensional Quadratic Nonlinear Systems : Volume I: Univariate Vector Fields 🔍
Albert C. J. Luo Springer Nature Singapore Pte Ltd Fka Springer Science + Business Media Singapore Pte Ltd, Nonlinear Physical Science, Nonlinear Physical Science, 2023
英语 [en] · EPUB · 102.9MB · 2023 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert’s sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.
备用文件名
lgli/978-981-16-7873-8.epub
备用文件名
lgrsnf/978-981-16-7873-8.epub
备用文件名
zlib/no-category/Albert C. J. Luo/Two-Dimensional Quadratic Nonlinear Systems: Volume I: Univariate Vector Fields_25571005.epub
备选作者
Luo, Albert C. J.
备用版本
1st ed. 2023, Singapore, Singapore
备用版本
S.l, 2022
元数据中的注释
SoftArchive
元数据中的注释
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备用描述
Nonlinear Physical Science
Erscheinungsdatum: 21.04.2023
开源日期
2023-07-16
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