Bifurcation Dynamics in Polynomial Discrete Systems 2020 Edition Contributor(s): Luo, Albert C. J. (Author) |
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ISBN: 981155207X ISBN-13: 9789811552076 Publisher: Springer OUR PRICE: $170.99 Product Type: Hardcover Published: November 2020 |
Additional Information |
BISAC Categories: - Technology & Engineering | Engineering (general) - Mathematics | Mathematical Analysis - Technology & Engineering | Mechanical |
Physical Information: 1" H x 6.14" W x 9.21" (1.75 lbs) 430 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |