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Bifurcation and stability in nonline...

Luo, Albert C. J.

Bifurcation and stability in nonlinear discrete systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Bifurcation and stability in nonlinear discrete systemsby Albert C. J. Luo.
Author:	Luo, Albert C. J.
Published:	Singapore :Springer Singapore :2020.
Description:	x, 313 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Bifurcation theory.
Online resource:	https://doi.org/10.1007/978-981-15-5212-0
ISBN:	9789811552120$q(electronic bk.)

Bifurcation and stability in nonlinear discrete systems
Luo, Albert C. J.

Bifurcation and stability in nonlinear discrete systems[electronic resource] /by Albert C. J. Luo. - Singapore :Springer Singapore :2020. - x, 313 p. :ill., digital ;24 cm. - Nonlinear physical science,1867-8440. - Nonlinear physical science..

Local Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index.

This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems.

ISBN: 9789811552120$q(electronic bk.)

Standard No.: 10.1007/978-981-15-5212-0doiSubjects--Topical Terms:

185804
Bifurcation theory.

LC Class. No.: QA380 / .L863 2020

Dewey Class. No.: 515.392

Bifurcation and stability in nonlinear discrete systems
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245 1 0 $a Bifurcation and stability in nonlinear discrete systems $h [electronic resource] / $c by Albert C. J. Luo.
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300 $a x, 313 p. : $b ill., digital ; $c 24 cm.
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505 0 $a Local Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index.
520 $a This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems.
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