| ISBN13: | 9783031595813 |
| ISBN10: | 3031595815 |
| Binding: | Hardback |
| No. of pages: | 240 pages |
| Size: | 235x155 mm |
| Language: | English |
| Illustrations: | 1 Illustrations, black & white; 69 Illustrations, color |
| 700 |
Two-dimensional Self and Product Cubic Systems, Vol. I
EUR 181.89
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This book, the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bifurcations are obtained through the inflection-source and sink infinite-equilibriums. Finally, the author illustrates how, in such cubic systems, the appearing bifurcations include saddle-source (sink) for equilibriums and inflection-source and sink flows for the connected hyperbolic flows, and the third-order saddle, sink and source are the appearing and switching bifurcations for saddle-source (sink) with saddles, source and sink, and also for saddle, sink and source.
- Develops a theory of self and product cubic systems with a self-linear and crossing-quadratic product vector field;
- Presents equilibrium series with flow singularity and connected hyperbolic and hyperbolic-secant flows;
- Shows equilibrium series switching bifurcations through a range of sources and saddles on the infinite-equilibriums.
This book is the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bifurcations are obtained through the inflection-source and sink infinite-equilibriums. Finally, the author illustrates how, in such cubic systems, the appearing bifurcations include saddle-source (sink) for equilibriums and inflection-source and sink flows for the connected hyperbolic flows, and the third-order saddle, sink and source are the appearing and switching bifurcations for saddle-source (sink) with saddles, source and sink, and also for saddle, sink and source.
Self and product cubic systems.- Second and third order equibriliums.- Equilibrium series and switching dynamics.- Saddle nodes and hyperbolic flow series.- Simple equilibrium series and switching dynamics.