Overview
- Is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems
- Discusses appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in 1-dimensional polynomial discrete systems
- Provides a new methodology for singularity analysis in nonlinear discrete systems, such as big data analysis and data-driving dynamical system analysis
Part of the book series: Nonlinear Physical Science (NPS)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (5 chapters)
Keywords
About this book
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.
Reviews
Authors and Affiliations
About the author
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.”
Bibliographic Information
Book Title: Bifurcation Dynamics in Polynomial Discrete Systems
Authors: Albert C. J. Luo
Series Title: Nonlinear Physical Science
DOI: https://doi.org/10.1007/978-981-15-5208-3
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Higher Education Press 2020
Hardcover ISBN: 978-981-15-5207-6Published: 10 November 2020
Softcover ISBN: 978-981-15-5210-6Published: 11 November 2021
eBook ISBN: 978-981-15-5208-3Published: 09 November 2020
Series ISSN: 1867-8440
Series E-ISSN: 1867-8459
Edition Number: 1
Number of Pages: XI, 430
Number of Illustrations: 2 b/w illustrations, 66 illustrations in colour
Topics: Complexity, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Control and Systems Theory