@article{946152, author = {LUO, ALBERT C. J.}, url = {http://library.usi.edu/record/946152}, title = {Bifurcation dynamics in polynomial discrete systems.}, publisher = {SPRINGER Verlag, SINGAPOR,}, abstract = {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.}, doi = {https://doi.org/10.1007/978-981-15-5208-3}, recid = {946152}, pages = {1 online resource}, address = {[Place of publication not identified]}, year = {2020}, }