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[ author_sort:"luo, albert c. j." ]
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Bifurcation dynamics in polynomial d...
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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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