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Focusing on product-cubic nonlinear systems, this volume delves into the dynamics of two crossing-linear and self-quadratic product vector fields. It explores equilibrium and flow singularities, emphasizing bifurcations, including appearing and switching types. The text details double-saddle equilibria related to saddle source and saddle-sink bifurcations, along with a network of saddles. Additionally, it presents infinite-equilibriums associated with switching bifurcations, offering insights into complex dynamic behaviors and their implications.
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Two-dimensional Two-product Cubic Systems Vol. X, Albert C.J. Luo
- Language
- Released
- 2024
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- (Hardcover)
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- Title
- Two-dimensional Two-product Cubic Systems Vol. X
- Subtitle
- Crossing-linear and Self-quadratic Product Vector Fields
- Language
- English
- Authors
- Albert C.J. Luo
- Publisher
- Springer Nature Switzerland
- Released
- 2024
- Format
- Hardcover
- Pages
- 332
- ISBN13
- 9783031484902
- Series
- Description
- Focusing on product-cubic nonlinear systems, this volume delves into the dynamics of two crossing-linear and self-quadratic product vector fields. It explores equilibrium and flow singularities, emphasizing bifurcations, including appearing and switching types. The text details double-saddle equilibria related to saddle source and saddle-sink bifurcations, along with a network of saddles. Additionally, it presents infinite-equilibriums associated with switching bifurcations, offering insights into complex dynamic behaviors and their implications.