Bifurcation Dynamics in Polynomial Discrete Systems

By:

Albert C.J. Luo

Format:

Paperback / softback

Series:

Nonlinear Physical Science

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Description

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.

Author Biography:

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.”

Release date NZ

November 11th, 2021

Author

Albert C.J. Luo

Series

Nonlinear Physical Science

Pages

430

Edition

1st ed. 2020

Audience

Professional & Vocational

Illustrations

66 Illustrations, color; 2 Illustrations, black and white; XI, 430 p. 68 illus., 66 illus. in color.

ISBN-13

9789811552106

Product ID

35572383

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