Description |
1 online resource : illustrations (some color) |
Series |
Nonlinear physical science, 1867-8440 |
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Nonlinear physical science, 1867-8440
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Contents |
Quadratic Nonlinear Discrete Systems -- Cubic Nonlinear Discrete Systems -- Quartic Nonlinear Discrete Systems -- (2m)th-degree Polynomial Discrete Systems -- (2m+1)th-degree polynomial discrete systems -- Subject index |
Summary |
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 |
Bibliography |
Includes bibliographical references and index |
Notes |
Online resource; title from PDF title page (SpringerLink, viewed January 21, 2021) |
Subject |
Bifurcation theory.
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Computational complexity.
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Dynamics.
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Ergodic theory.
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Vibration.
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Automatic control.
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Vibration
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vibration (physical)
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kinetics (dynamics)
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Bifurcation theory
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Automatic control
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Computational complexity
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Dynamics
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Ergodic theory
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Vibration
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Form |
Electronic book
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ISBN |
9789811552083 |
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9811552088 |
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