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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I
A Self-univariate Cubic Vector Field
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Focusing on cubic nonlinear systems, this monograph introduces a systematic theory centered around single-variable vector fields. It delves into 1-dimensional flow singularities and bifurcations, showcasing previously unexplored bifurcations in 2-dimensional cubic systems. The text covers third-order source and sink flows, as well as parabola flows, highlighting the significance of infinite-equilibriums in switching bifurcations. Additionally, it details various bifurcations, including saddle flows and inflection flows, providing a comprehensive analysis of these complex systems.
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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I, Albert C.J. Luo
- Language
- Released
- 2024
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- Title
- Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I
- Subtitle
- A Self-univariate Cubic Vector Field
- Language
- English
- Authors
- Albert C.J. Luo
- Publisher
- Springer, Berlin
- Released
- 2024
- Format
- Hardcover
- Pages
- 449
- ISBN13
- 9783031484711
- Category
- Technology / Engineering, Mathematics
- Description
- Focusing on cubic nonlinear systems, this monograph introduces a systematic theory centered around single-variable vector fields. It delves into 1-dimensional flow singularities and bifurcations, showcasing previously unexplored bifurcations in 2-dimensional cubic systems. The text covers third-order source and sink flows, as well as parabola flows, highlighting the significance of infinite-equilibriums in switching bifurcations. Additionally, it details various bifurcations, including saddle flows and inflection flows, providing a comprehensive analysis of these complex systems.