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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
- Idioma
- Publicado en
- 2024
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- Título
- Two-dimensional Self and Product Cubic Systems, Vol. I
- Subtítulo
- Self-linear and Crossing-quadratic Product Vector Field
- Idioma
- Inglés
- Autores
- Albert C. J. Luo
- Editorial
- Springer, Berlin
- Publicado en
- 2024
- Formato
- Tapa dura
- Páginas
- 240
- ISBN13
- 9783031595813
- Serie
- Descripción
- 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.