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Bifurcation dynamics in polynomial d...

Luo, Albert C. J.

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Bifurcation dynamics in polynomial discrete systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Bifurcation dynamics in polynomial discrete systems/ by Albert C. J. Luo.
Author:	Luo, Albert C. J.
Published:	Singapore :Springer Singapore : : 2020.,
Description:	xi, 430 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Bifurcation theory. -
Online resource:	https://doi.org/10.1007/978-981-15-5208-3
ISBN:	9789811552083

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

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

544229
Bifurcation theory.

LC Class. No.: QA380 / .L86 2020

Dewey Class. No.: 511.3

Bifurcation dynamics in polynomial discrete systems
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100 1 $a Luo, Albert C. J. $3 940597
245 1 0 $a Bifurcation dynamics in polynomial discrete systems $h [electronic resource] / $c by Albert C. J. Luo.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xi, 430 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Nonlinear physical science, $x 1867-8440
505 0 $a 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.
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.
650 0 $a Bifurcation theory. $3 544229
650 0 $a Computational complexity. $3 523870
650 0 $a Dynamics. $3 519830
650 0 $a Ergodic theory. $3 555691
650 0 $a Vibration. $3 544256
650 0 $a Automatic control. $3 535879
650 1 4 $a Complexity. $3 893807
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
650 2 4 $a Control and Systems Theory. $3 3381515
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Nonlinear physical science. $3 1314342
856 4 0 $u https://doi.org/10.1007/978-981-15-5208-3
950 $a Physics and Astronomy (SpringerNature-11651)