Nonlinear Physical Science

Bifurcation and Stability in Nonlinear Discrete Systems

Authors: Luo, Albert C. J.

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  • Presents monotonic and oscillatory stability and bifurcations in nonlinear discrete systems
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  • Provides different perspectives on nonlinear discrete systems, to help readers better understand the nonlinear dynamics of such systems
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  • Discusses infinite-fixed-point discrete systems in local analysis for the first time
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eBook 117,69 €
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  • ISBN 978-981-15-5212-0
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Hardcover 147,69 €
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About this book

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.


About the authors

Prof. Albert C. J. Luo is a Distinguished Research Professor at the Department of Mechanical Engineering at Southern Illinois University Edwardsville, USA. He received his Ph.D. degree from the University of Manitoba, Canada, in 1995. His research focuses on mechanics, dynamics and mechanical vibration, and he has published over 40 books, and more than 200 journal articles and conference papers in these fields. He received the Paul Simon Outstanding Scholar Award in 2008 and an ASME fellowship in 2007. He now serves as Co-editor of the Journal of Applied Nonlinear Dynamics and Editor of various book series, including “Nonlinear Systems and Complexity,” and “Nonlinear Physical Science.”

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 117,69 €
price for France (gross)
  • ISBN 978-981-15-5212-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 147,69 €
price for France (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Bifurcation and Stability in Nonlinear Discrete Systems
Authors
Series Title
Nonlinear Physical Science
Copyright
2020
Publisher
Springer Singapore
Copyright Holder
Higher Education Press
eBook ISBN
978-981-15-5212-0
DOI
10.1007/978-981-15-5212-0
Hardcover ISBN
978-981-15-5211-3
Series ISSN
1867-8440
Edition Number
1
Number of Pages
X, 313
Number of Illustrations
27 b/w illustrations, 16 illustrations in colour
Topics