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Bifurcation Dynamics in Polynomial Discrete Systems

Bifurcation Dynamics in Polynomial Discrete Systems

Paperback

Series: Nonlinear Physical Science

Technology & EngineeringGeneral Mathematics

ISBN10: 981155210X
ISBN13: 9789811552106
Publisher: Springer Nature
Published: Nov 11 2021
Pages: 430
Weight: 1.36
Height: 0.90 Width: 6.14 Depth: 9.21
Language: English

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.

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Luo, Albert C. J.

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Technology & Engineering