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201208 ||| eng |
| 020 |
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|a 9789811552083
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| 100 |
1 |
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|a Luo, Albert C. J.
|
| 245 |
0 |
0 |
|a Bifurcation Dynamics in Polynomial Discrete Systems
|h Elektronische Ressource
|c by Albert C. J. Luo
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| 250 |
|
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|a 1st ed. 2020
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| 260 |
|
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|a Singapore
|b Springer Nature Singapore
|c 2020, 2020
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| 300 |
|
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|a XI, 430 p. 68 illus., 66 illus. in color
|b online resource
|
| 505 |
0 |
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|a 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.
|
| 653 |
|
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|a Dynamical Systems
|
| 653 |
|
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|a Applied Dynamical Systems
|
| 653 |
|
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|a Control and Systems Theory
|
| 653 |
|
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|a Nonlinear theories
|
| 653 |
|
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|a Control engineering
|
| 653 |
|
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|a Dynamical systems
|
| 653 |
|
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|a Dynamics
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
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|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
|
|a Nonlinear Physical Science
|
| 028 |
5 |
0 |
|a 10.1007/978-981-15-5208-3
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-981-15-5208-3?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
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|a 515.39
|
| 520 |
|
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|a 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
|