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Cookie akzeptieren![Luo, Albert C. J.. Bifurcation Dynamics in Polynomial Discrete Systems. Springer Nature Singapore, 2020.](https://eichendorff21.de/cdata/-RFG667ysid2JD9mVhTn6LBATsM=/300x0/9789811552076.png)
Albert C. J. Luo
Bifurcation Dynamics in Polynomial Discrete Systems
- Springer Nature Singapore
- 2020
- Gebunden
- 444 Seiten
- ISBN 9789811552076
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
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