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portada Bifurcation Dynamics in Polynomial Discrete Systems
Type
Physical Book
Author
Publisher
Language
English
Pages
430
Format
Hardcover
Dimensions
23.4x15.6x2.5 cm
Weight
0.79 kg.
ISBN13
9789811552076
Categories

Bifurcation Dynamics in Polynomial Discrete Systems

Albert C. J. Luo (Author) · Springer · Hardcover

Bifurcation Dynamics in Polynomial Discrete Systems - Luo, Albert C. J.

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Synopsis "Bifurcation Dynamics in Polynomial Discrete Systems"

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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