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Two-dimensional Two-product Cubic Systems, Vol I: Different Product Structure Vector Fields.
・ISBN 978-3-031-48489-6 paper EUR 169.99
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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 | 336 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A05-15471＞ |
解説
This book is the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The switching bifurcations for saddle-source (sink) with hyperbolic-to-hyperbolic-secant flows and parabola-saddles with inflection-source (sink) flows are based on the parabola-source (sink), parabola-saddles, inflection-saddles infinite-equilibriums. The switching bifurcations for the network of the simple equilibriums with hyperbolic flows are parabola-saddles and inflection-source (sink) on the inflection-source and sink infinite-equilibriums. Readers will learn new concepts, theory, phenomena, and analysis techniques.
? Two-different product-cubic systems
? Hybrid networks of higher-order equilibriums and flows
? Hybrid series of simple equilibriums and hyperbolic flows
? Higher-singular equilibrium appearing bifurcations
? Higher-order singular flow appearing bifurcations
? Parabola-source (sink) infinite-equilibriums
? Parabola-saddle infinite-equilibriums
? Inflection-saddle infinite-equilibriums
? Inflection-source (sink) infinite-equilibriums
? Infinite-equilibrium switching bifurcations.