Two-dimensional Product-Cubic Systems, Vol. IV
Springer International Publishing (Verlag)
978-3-031-57103-9 (ISBN)
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This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include:
- Parabola-source (sink) infinite-equilibriums,
- Inflection-source (sink) infinite-equilibriums,
- Hyperbolic (circular) sink-to source infinite-equilibriums,
- Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums.
Dr. Albert C. J. Luo is a Distinguished Research Professor at the Southern Illinois University Edwardsville, in Edwardsville, IL, USA.
Preface .- Crossing-quadratic and product-cubic systems.- Double-inflection-saddles and bifurcation dynamics.- Parabola-saddles and bifurcation.
| Erscheinungsdatum | 07.09.2024 |
|---|---|
| Zusatzinfo | X, 256 p. 42 illus., 41 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Technik | |
| Schlagworte | appearing bifurcations • Constant and self-cubic systems • Crossing-linear and self-cubic systems • Crossing-quadratic and self-cubic systems • Crossing-Quadratic Vector Fields • Infinite-equilibriums • Inflection sinks, sources and saddles • Logarithmic and concave sinks and sources • Parabola sinks, sources and saddles • switching bifurcations • Third-order parabola flows and inflection flows • Third-order sink and source flows and saddle flows • Two single-variable cubic systems • Up-down and down-up saddles |
| ISBN-10 | 3-031-57103-7 / 3031571037 |
| ISBN-13 | 978-3-031-57103-9 / 9783031571039 |
| Zustand | Neuware |
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