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.
| Autorius: | Albert C. J. Luo |
| Leidėjas: | Springer Nature Switzerland |
| Išleidimo metai: | 2025 |
| Knygos puslapių skaičius: | 252 |
| ISBN-10: | 3031595815 |
| ISBN-13: | 9783031595813 |
| Formatas: | Knyga kietu viršeliu |
| Kalba: | Anglų |
| Žanras: | Cybernetics and systems theory |
Parašykite atsiliepimą apie „Two-dimensional Crossing and Product Cubic Systems, Vol. I: Self-linear and Crossing-quadratic Product Vector Field“
