[Download] "Bifurcation Dynamics in Polynomial Discrete Systems" by Albert C. J. Luo # Book PDF Kindle ePub Free
eBook details
- Title: Bifurcation Dynamics in Polynomial Discrete Systems
- Author : Albert C. J. Luo
- Release Date : January 09, 2020
- Genre: Engineering,Books,Professional & Technical,Science & Nature,Mathematics,
- Pages : * pages
- Size : 58265 KB
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.