Two-dimensional Self and Product Cubic Systems, Vol. I
Springer International Publishing (Verlag)
978-3-031-57095-7 (ISBN)
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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 (centers),
- third-order saddle-source (sink).
Dr. Albert C. J. Luo is a Distinguished Research Professor at the Southern Illinois University Edwardsville, in Edwardsville, IL, USA.
Crossing and Product cubic Systems.- Double-inflection Saddles and Parabola-saddles.- Three Parabola-saddle Series and Switching Dynamics.- Parabola-saddles, (1:1) and (1:3)-Saddles and Centers.- Equilibrium Networks and Switching with Hyperbolic Flows.
| Erscheinungsdatum | 08.09.2024 |
|---|---|
| Zusatzinfo | X, 232 p. 43 illus., 42 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Technik | |
| Schlagworte | Crossing and product cubic systems • Crossing-cubic vector field • Double-inflection saddles appearing bifurcations • Hybrid series of singular equilibriums and flows • Inflection-source (sink) flows appearing bifurcations • inflection-source (sink) infinite-equilibrium • parabola-saddle infinite-equilibriums • Parabola-saddles (saddle-center) appearing bifurcations • parabola-source (sink) infinite-equilibriums • Self-linear and crossing-quadratic product vector field • Third-order parabola-saddles appearing bifurcations • Third-order saddles (centers) appearing bifurcations • Third-order saddle-source (sink) appearing bifurcations |
| ISBN-10 | 3-031-57095-2 / 3031570952 |
| ISBN-13 | 978-3-031-57095-7 / 9783031570957 |
| Zustand | Neuware |
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