Bifurcation and stability in nonlinear discrete systems / Albert C. J. Luo.
Luo, Albert C. J.
2020
QA380
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

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
DOI https://doi.org/10.1007/978-981-15-5
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.
Access Note Access limited to authorized users.
Series Nonlinear physical science.
Available in Other Form Print version: 9789811552113
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
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.

Browse Subjects

Show more subjects...

Statistics

from
to
Export