| ISBN13: | 9783031595813 |
| ISBN10: | 3031595815 |
| Binding: | Hardback |
| No. of pages: | 239 pages |
| Size: | 235x155 mm |
| Language: | English |
| Illustrations: | 1 Illustrations, black & white |
| 692 |
Two-dimensional Crossing and Product Cubic Systems, Vol. I
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This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are:
- double-inflection saddles,
- inflection-source (sink) flows,
- parabola-saddles (saddle-center),
- third-order parabola-saddles,
- third-order saddles and centers.
? Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field;
? Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums;
? Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows.
This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are:
- double-inflection saddles,
- inflection-source (sink) flows,
- parabola-saddles (saddle-center),
- third-order parabola-saddles,
- third-order saddles and centers.
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.