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Titlebook: Bifurcation Dynamics in Polynomial Discrete Systems; Albert C. J. Luo Book 2020 Higher Education Press 2020 Bifurcation dynamics.Polynomia

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期刊全称Bifurcation Dynamics in Polynomial Discrete Systems
影响因子2023Albert C. J. Luo
视频video
发行地址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-
学科分类Nonlinear Physical Science
图书封面Titlebook: Bifurcation Dynamics in Polynomial Discrete Systems;  Albert C. J. Luo Book 2020 Higher Education Press 2020 Bifurcation dynamics.Polynomia
影响因子.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. .
Pindex Book 2020
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(2,),-Degree Polynomial Discrete Systems,malization of such a forwarded (2.).-degree polynomial discrete system are discussed. For multiple iterations, the appearing bifurcations of period-. fixed-points and the corresponding period-doublization of the forward (2.).-degree polynomial discrete system are presented as well.
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7.2.2 Dark nebulae and globules,onic sink and source switching bifurcations for monotonic . and nodes are discovered. Graphical illustrations of global stability and bifurcations are presented. The bifurcation trees for cubic nonlinear discrete systems are discussed through period-doublization and monotonic saddle-node bifurcations.
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Molecules Detected in Interstellar Space,malization of such a forwarded (2.).-degree polynomial discrete system are discussed. For multiple iterations, the appearing bifurcations of period-. fixed-points and the corresponding period-doublization of the forward (2.).-degree polynomial discrete system are presented as well.
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7.1.6 Radio line emission and absorption,In this Chapter, the stability and bifurcation of the quartic nonlinear discrete systems will be presented
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