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Bifurcation dynamics in polynomial d...

Luo, Albert C. J.

Bifurcation dynamics in polynomial discrete systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Bifurcation dynamics in polynomial discrete systemsby Albert C. J. Luo.
作者:	Luo, Albert C. J.
出版者:	Singapore :Springer Singapore :2020.
面頁冊數:	xi, 430 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Bifurcation theory.
電子資源:	https://doi.org/10.1007/978-981-15-5208-3
ISBN:	9789811552083$q(electronic bk.)

Bifurcation dynamics in polynomial discrete systems
Luo, Albert C. J.

Bifurcation dynamics in polynomial discrete systems[electronic resource] /by Albert C. J. Luo. - Singapore :Springer Singapore :2020. - xi, 430 p. :ill. (some col.), digital ;24 cm. - Nonlinear physical science,1867-8440. - Nonlinear physical science..

Quadratic Nonlinear Discrete Systems -- Cubic Nonlinear Discrete Systems -- Quartic Nonlinear Discrete Systems -- (2m)th-degree Polynomial Discrete Systems -- (2m+1)th-degree polynomial discrete systems -- Subject index.

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.

ISBN: 9789811552083$q(electronic bk.)

Standard No.: 10.1007/978-981-15-5208-3doiSubjects--Topical Terms:

185804
Bifurcation theory.

LC Class. No.: QA380 / .L86 2020

Dewey Class. No.: 511.3

Bifurcation dynamics in polynomial discrete systems
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520 $a 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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