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Focusing on self and product cubic systems, this volume explores complex interactions within a self-linear and crossing-quadratic product vector field. It presents equilibrium series characterized by flow singularities and examines the resulting switching bifurcations. Key concepts include the existence of hyperbolic and hyperbolic-secant flows, as well as the role of inflection-source and sink infinite-equilibriums in these dynamics. The author details various bifurcations, including saddle-source and third-order transitions, emphasizing their significance in understanding cubic systems.
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Two-dimensional Self and Product Cubic Systems, Vol. I, Albert C.J. Luo
- Language
- Released
- 2024
- Binding
- (Hardcover)
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- Subtitle
- Self-linear and Crossing-quadratic Product Vector Field
- Language
- English
- Authors
- Albert C.J. Luo
- Publisher
- Springer, Berlin
- Released
- 2024
- Format
- Hardcover
- Pages
- 240
- ISBN13
- 9783031595813
- Series
- Description
- Focusing on self and product cubic systems, this volume explores complex interactions within a self-linear and crossing-quadratic product vector field. It presents equilibrium series characterized by flow singularities and examines the resulting switching bifurcations. Key concepts include the existence of hyperbolic and hyperbolic-secant flows, as well as the role of inflection-source and sink infinite-equilibriums in these dynamics. The author details various bifurcations, including saddle-source and third-order transitions, emphasizing their significance in understanding cubic systems.