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Focusing on nonlinear dynamics, this monograph delves into two-dimensional quadratic nonlinear systems, providing insights into their bifurcations and equilibrium structures. It explores the local and global dynamics of these systems, which serve as foundational examples in the study of more complex nonlinear dynamics, aiding in addressing Hilbert's sixteenth problem. Detailed discussions include singular dynamics, saddle-sink and saddle-source bifurcations, and the development of saddle-center networks. It is a valuable resource for researchers and students in mathematics and engineering fields.
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Two-Dimensional Quadratic Nonlinear Systems, Albert C. J. Luo
- Idioma
- Publicado en
- 2024
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- Subtítulo
- Volume I: Univariate Vector Fields
- Idioma
- Inglés
- Autores
- Albert C. J. Luo
- Editorial
- Springer Nature Singapore
- Publicado en
- 2024
- Formato
- Tapa blanda
- Páginas
- 700
- ISBN13
- 9789811678752
- Serie
- Etiquetas
- No ficción, Ciencia y Matemáticas, Matemáticas
- Descripción
- Focusing on nonlinear dynamics, this monograph delves into two-dimensional quadratic nonlinear systems, providing insights into their bifurcations and equilibrium structures. It explores the local and global dynamics of these systems, which serve as foundational examples in the study of more complex nonlinear dynamics, aiding in addressing Hilbert's sixteenth problem. Detailed discussions include singular dynamics, saddle-sink and saddle-source bifurcations, and the development of saddle-center networks. It is a valuable resource for researchers and students in mathematics and engineering fields.