| ISBN13: | 9783031595738 |
| ISBN10: | 3031595734 |
| Binding: | Hardback |
| No. of pages: | 244 pages |
| Size: | 235x155 mm |
| Language: | English |
| Illustrations: | 1 Illustrations, black & white; 45 Illustrations, color |
| 700 |
Two-dimensional Self and Product Cubic Systems, Vol. II
EUR 181.89
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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)
- Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field;
- Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles;
- Shows equilibrium appearing bifurcations of various saddles, sinks, and flows.
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)
Self and Product Cubic Systems.- Double-saddles, Third-order Saddle nodes.- Vertical Saddle-node Series and Switching Dynamics.- Saddle-nodes and third-order Saddles Source and Sink.- Simple equilibrium networks and switching dynamics.