Bifurcation dynamics in polynomial discrete systems.

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Bifurcation dynamics in polynomial discrete systems.

9789811552083 (electronic book)
9811552088 (electronic book)
981155207X
9789811552076

[Place of publication not identified] SPRINGER Verlag, SINGAPOR, 2020.

English

1 online resource

10.1007/978-981-15-5208-3 doi

QA267.7

620

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.

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Nonlinear physical science, 1867-8440

Print version: 9789811552076

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