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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.
Zakup książki
Two-dimensional Self and Product Cubic Systems, Vol. I, Albert C. J. Luo
- Język
- Rok wydania
- 2024
- Oprawa
- (twarda)
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- Tytuł
- Two-dimensional Self and Product Cubic Systems, Vol. I
- Podtytuł
- Self-linear and Crossing-quadratic Product Vector Field
- Język
- angielski
- Autorzy
- Albert C. J. Luo
- Wydawca
- Springer, Berlin
- Rok wydania
- 2024
- Oprawa
- twarda
- Liczba stron
- 240
- ISBN13
- 9783031595813
- Seria
- Tagi
- Przyroda
- Opis
- 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.