| Description |
1 online resource : illustrations (some color) |
| Series |
Nonlinear physical science, 1867-8440 |
|
Nonlinear physical science, 1867-8440
|
| 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.
|
|
Computational complexity.
|
|
Dynamics.
|
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Ergodic theory.
|
|
Vibration.
|
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Automatic control.
|
|
Vibration
|
|
vibration (physical)
|
|
kinetics (dynamics)
|
|
Bifurcation theory
|
|
Automatic control
|
|
Computational complexity
|
|
Dynamics
|
|
Ergodic theory
|
|
Vibration
|
| Form |
Electronic book
|
| ISBN |
9789811552083 |
|
9811552088 |
|
