Bifurcation Dynamics In Polynomial Discrete Systems

July 31, 2020|
Bifurcation Dynamics In Polynomial Discrete Systems by Albert C. J. Luo
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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. 


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 boo...
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Title:Bifurcation Dynamics In Polynomial Discrete SystemsFormat:HardcoverProduct dimensions:413 pages, 9.25 X 6.1 X 0 inShipping dimensions:413 pages, 9.25 X 6.1 X 0 inPublished:July 31, 2020Publisher:Springer SingaporeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:981155207X

ISBN - 13:9789811552076

Appropriate for ages: All ages

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