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lgli/Albert C. J. Luo - Two-Dimensional Quadratic Nonlinear Systems. Volume II: Bivariate Vector Fields (2022, Springer Nature).epub
Two-Dimensional Quadratic Nonlinear Systems: Volume II: Bivariate Vector Fields (Nonlinear Physical Science) 🔍
Albert C. J. Luo Springer Singapore; Springer Nature, Nonlinear Physical Science Ser, Singapore, 2022
英语 [en] · EPUB · 93.8MB · 2022 · 📘 非小说类图书 · 🚀/lgli/lgrs/zlib · Save
描述
The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve 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
lgrsnf/Luo2021_Book_Two-DimensionalQuadraticNonlin.epub
备用文件名
zlib/Mathematics/Geometry and Topology/Albert C. J. Luo/Two-Dimensional Quadratic Nonlinear Systems. Volume II: Bivariate Vector Fields_21768944.epub
备选标题
Two-Dimensional Quadratic Nonlinear Systems: Volume I: Univariate Vector Fields
备选作者
Luo, Albert C. J.
备用出版商
Springer Nature Singapore Pte Ltd Fka Springer Science + Business Media Singapore Pte Ltd
备用版本
Nonlinear physical science, Singapore, 2021
备用版本
Springer Nature, Singapore, 2022
备用版本
Singapore, Singapore
备用版本
1st ed. 2021, 2022
备用版本
2, 20220329
元数据中的注释
SoftArchive
备用描述
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.
备用描述
Nonlinear Physical Science
Erscheinungsdatum: 21.04.2023
备用描述
Nonlinear Physical Science
Erscheinungsdatum: 30.03.2022
开源日期
2022-06-13
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