Two-dimensional Self and Product Cubic Systems, Vol. II
| Autor: | Albert C. J. Luo |
|---|---|
| EAN: | 9783031595745 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 18.10.2024 |
| Untertitel: | Crossing-linear and Self-quadratic Product Vector Field |
| Kategorie: | |
| Schlagworte: | Self and product cubic systems;Crossing-linear and self-quadratic product vector field;Self-cubic vector field;Hybrid networks of singular equilibriums and flows;Hybrid networks of saddles and hyperbolic flows;Saddle-source (sink) appearing centers |
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This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are:
saddle-source (sink)
hyperbolic-to-hyperbolic-secant flows
double-saddle
third-order saddle, sink and source
third-order saddle-source (sink)
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