Bifurcation Dynamics in Polynomial Discrete Systems
| Autor: | Luo, Albert C. J. |
|---|---|
| EAN: | 9789811552106 |
| Auflage: | 001 |
| Sachgruppe: | Technik |
| Sprache: | Englisch |
| Seitenzahl: | 444 |
| Produktart: | Kartoniert / Broschiert |
| Veröffentlichungsdatum: | 11.11.2021 |
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This is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems.
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