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Focusing on nonlinear dynamics, this monograph explores two-dimensional quadratic nonlinear systems through bivariate vector fields. It offers insights into the dynamics and bifurcations of these systems on both linear and nonlinear bivariate manifolds. Detailed discussions include singular dynamics, equilibrium behaviors, and one-dimensional flows. The text also covers saddle-focus bifurcations and switching bifurcations involving infinite equilibriums, making it 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
- 2022
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- Title
- Two-Dimensional Quadratic Nonlinear Systems
- Subtitle
- Volume II: Bivariate Vector Fields
- Language
- English
- Authors
- Albert C.J. Luo
- Publisher
- Springer Nature Singapore
- Publisher
- 2022
- Format
- Hardcover
- Pages
- 460
- ISBN13
- 9789811678684
- Category
- Mathematics
- Description
- Focusing on nonlinear dynamics, this monograph explores two-dimensional quadratic nonlinear systems through bivariate vector fields. It offers insights into the dynamics and bifurcations of these systems on both linear and nonlinear bivariate manifolds. Detailed discussions include singular dynamics, equilibrium behaviors, and one-dimensional flows. The text also covers saddle-focus bifurcations and switching bifurcations involving infinite equilibriums, making it a valuable reference for researchers and students in mathematics and engineering fields.