| Title | : | Bifurcation Dynamics in Polynomial Discrete Systems |
|---|---|---|
| Author | : | Albert C. J. Luo |
| Release | : | 2020-11-09 |
| Kind | : | ebook |
| Genre | : | Science & Nature, Books, Mathematics, Professional & Technical, Engineering, Electrical Engineering |
| Size | : | 58265974 |
| 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. |
