Bifurcation Dynamics in Polynomial Discrete Systems

By Albert C.J. Luo

Book Overview

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.

• Format: Hardcover
• Language: English
• ISBN: 981155207X
• ISBN13: 9789811552076
• Release Date: November 2020
• Publisher: Springer
• Length: 430 Pages
• Weight: 1.75 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"