TY  - GEN
N2  - 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.
DO  - 10.1007/978-981-15-5208-3
DO  - doi
AB  - 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.
T1  - Bifurcation dynamics in polynomial discrete systems.
DA  - 2020.
CY  - [Place of publication not identified]
AU  - LUO, ALBERT C. J.
CN  - QA267.7
PB  - SPRINGER Verlag, SINGAPOR,
PP  - [Place of publication not identified]
PY  - 2020.
ID  - 946152
KW  - Computational complexity.
KW  - Dynamics.
KW  - Ergodic theory.
KW  - Vibration.
KW  - Automatic control.
SN  - 9789811552083
SN  - 9811552088
TI  - Bifurcation dynamics in polynomial discrete systems.
LK  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-15-5208-3
UR  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-15-5208-3
ER  -