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Bifurcation Dynamics in Polynomial Discrete Systems (en Inglés)
Albert C. J. Luo
(Autor)
·
Springer
· Tapa Blanda
Bifurcation Dynamics in Polynomial Discrete Systems (en Inglés) - Luo, Albert C. J.
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Reseña del libro "Bifurcation Dynamics in Polynomial Discrete Systems (en Inglés)"
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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