Bifurcation Dynamics in Polynomial Discrete Systems

Luo, Albert C. J.

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. 

Details

Published by: Springer

Publication Date: 2020-11-10

Format: Hardcover

ISBN-13: 9789811552076

DOI: 10.1007/978-981-15-5208-3

Dimensions: 235.0cm x155.0cm

Pages: 430.0