Bifurcation Dynamics in Polynomial Discrete Systems / Nonlinear Physical Science (PDF)
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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.
- Autor: Albert C. J. Luo
- 2020, 1st ed. 2020, 430 Seiten, Englisch
- Verlag: Springer Nature Singapore
- ISBN-10: 9811552088
- ISBN-13: 9789811552083
- Erscheinungsdatum: 09.11.2020
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- Dateiformat: PDF
- Grösse: 7.39 MB
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