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Focusing on nonlinear dynamics, this monograph delves into two-dimensional quadratic nonlinear systems, offering diverse perspectives on their dynamics and bifurcations. It examines the local and global structures of equilibria and flows, essential for understanding more complex nonlinear systems and addressing Hilbert's sixteenth problem. Key topics include saddle-sink and saddle-source bifurcations, singular dynamics, and the development of saddle-center networks. This work serves as a valuable reference for researchers and students in mathematics and engineering fields.
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Two-Dimensional Quadratic Nonlinear Systems, Albert C.J. Luo
- Language
- Released
- 2023
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- (Hardcover)
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- Title
- Two-Dimensional Quadratic Nonlinear Systems
- Subtitle
- Volume I: Univariate Vector Fields
- Language
- English
- Authors
- Albert C.J. Luo
- Publisher
- Springer Nature Singapore
- Released
- 2023
- Format
- Hardcover
- Pages
- 700
- ISBN13
- 9789811678721
- Series
- Description
- Focusing on nonlinear dynamics, this monograph delves into two-dimensional quadratic nonlinear systems, offering diverse perspectives on their dynamics and bifurcations. It examines the local and global structures of equilibria and flows, essential for understanding more complex nonlinear systems and addressing Hilbert's sixteenth problem. Key topics include saddle-sink and saddle-source bifurcations, singular dynamics, and the development of saddle-center networks. This work serves as a valuable reference for researchers and students in mathematics and engineering fields.