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.
Albert C. J. Luo
Bifurcation Dynamics in Polynomial Discrete Systems
Bifurcation Dynamics in Polynomial Discrete Systems
Language English ● Format PDF ● Pages 430 ● ISBN 9789811552083 ● File size 7.9 MB ● Publisher Springer Singapore ● City Singapore ● Country SG ● Published 2020 ● Downloadable 24 months ● Currency EUR ● ID 7671178 ● Copy protection Social DRM