| 书目名称 | Two-Dimensional Quadratic Nonlinear Systems |
| 副标题 | Volume I: Univariate |
| 编辑 | Albert C. J. Luo |
| 视频video | |
| 概述 | Provides a better understanding of singularity and bifurcations in nonlinear dynamical systems.Designs a new dynamical system possessing well-defined, expected dynamical behaviors.Used as reference fo |
| 丛书名称 | Nonlinear Physical Science |
| 图书封面 |  |
| 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 d |
| 出版日期 | Book 2023 |
| 关键词 | Singularity and new bifurcations; Nonlinear Systems; Quadratic nonlinear systems; Flow bifurcations; dir |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-16-7873-8 |
| isbn_softcover | 978-981-16-7875-2 |
| isbn_ebook | 978-981-16-7873-8Series ISSN 1867-8440 Series E-ISSN 1867-8459 |
| issn_series | 1867-8440 |
| copyright | Higher Education Press 2023 |
发表于 2025-3-21 18:32:00
