Bifurcation Dynamics in Polynomial Discrete Systems

Name: Bifurcation Dynamics in Polynomial Discrete Systems
Brand: Springer
SKU: 9789811552076
Price: 11627.0 INR
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by Albert C. J. Luo

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ISBN13: 9789811552076
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: November 10, 2020
Pages: 430
Original Price: EUR 159.99
Language: English
Edition: 2020
Item Weight: 794 grams
BISAC Subject(s): Engineering (General), Mathematical Analysis, and Mechanical

About The Book

From the Back Cover

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.

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."

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