| ISBN13: | 9783031595585 |
| ISBN10: | 30315955811 |
| Binding: | Hardback |
| No. of pages: | 284 pages |
| Size: | 235x155 mm |
| Language: | English |
| Illustrations: | 1 Illustrations, black & white; 71 Illustrations, color |
| 700 |
Two-dimensional Two Product Cubic Systems, Vol. III
EUR 181.89
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This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks.
- Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product systems;
- Presents networks of singular, simple center and saddle with hyperbolic flows in same structure product-cubic systems;
- Reveals s network switching bifurcations through hyperbolic, parabola, circle sink and other parabola-saddles.
This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks.
Self-linear and Crossing-quadratic Product Systems.-Double-inflection Saddles and Switching Dynamics.-Horizontally Connected Parabola-saddles.-Vertically Connected Parabola-saddles.- Equilibrium Networks and Switching Bifurcations.