Two-dimensional Self and Product Cubic Systems, Vol. II
Springer International Publishing (Verlag)
978-3-031-57099-5 (ISBN)
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This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center).
Dr. Albert C. J. Luo is a Distinguished Research Professor at the Southern Illinois University Edwardsville, in Edwardsville, IL, USA.
Quadratic and Cubic Product Systems.- Inflection Singularity and Bifurcation Dynamics.- Saddle-node and hyperbolic-flow singular dynamics.
| Erscheinungsdatum | 13.09.2024 |
|---|---|
| Zusatzinfo | X, 227 p. 83 illus., 82 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 | 3-031-57099-5 / 3031570995 |
| ISBN-13 | 978-3-031-57099-5 / 9783031570995 |
| Zustand | Neuware |
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