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商品詳細
Two-dimensional Crossing and Product Cubic Systems, Vol. II: Crossing-linear and Self-quadratic Product Vector Field. 2024 ed.
・ISBN 978-3-031-57099-5 hard EUR 159.99
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| 著者・編者 | Luo, Albert C. J., |
|---|---|
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2025 |
| ページ数 | 259 pp. |
| 言語 | ENG |
| ニュース番号 | <A02-42891> |
解説
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).