Bifurcation and stability in nonlinear discrete systems / Albert C. J. Luo.
2020
QA380
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Details
Title
Bifurcation and stability in nonlinear discrete systems / Albert C. J. Luo.
Author
Luo, Albert C. J.
ISBN
9789811552120 (electronic book)
9811552126 (electronic book)
9811552118
9789811552113
9811552126 (electronic book)
9811552118
9789811552113
Publication Details
Singapore : Springer, 2020.
Language
English
Description
1 online resource
Item Number
10.1007/978-981-15-5
Call Number
QA380
Dewey Decimal Classification
515/.392
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Series
Nonlinear physical science.
Available in Other Form
Print version: 9789811552113
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Table of Contents
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.
Low-dimensional Discrete Systems
Global Stability in 1-D discrete systems
Forward and backward discrete systems
Infinite-fixed-point Systems
Subject index.