|
|
|
|
| LEADER |
02341nmm a2200337 u 4500 |
| 001 |
EB001900776 |
| 003 |
EBX01000000000000001063685 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
200911 ||| eng |
| 020 |
|
|
|a 9789811552120
|
| 100 |
1 |
|
|a Luo, Albert C. J.
|
| 245 |
0 |
0 |
|a Bifurcation and Stability in Nonlinear Discrete Systems
|h Elektronische Ressource
|c by Albert C. J. Luo
|
| 250 |
|
|
|a 1st ed. 2020
|
| 260 |
|
|
|a Singapore
|b Springer Nature Singapore
|c 2020, 2020
|
| 300 |
|
|
|a X, 313 p. 43 illus., 16 illus. in color
|b online resource
|
| 505 |
0 |
|
|a Local Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index.
|
| 653 |
|
|
|a Dynamical Systems
|
| 653 |
|
|
|a Applied Dynamical Systems
|
| 653 |
|
|
|a Control and Systems Theory
|
| 653 |
|
|
|a Nonlinear theories
|
| 653 |
|
|
|a Control engineering
|
| 653 |
|
|
|a Dynamical systems
|
| 653 |
|
|
|a Dynamics
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
|
|a Nonlinear Physical Science
|
| 028 |
5 |
0 |
|a 10.1007/978-981-15-5212-0
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-981-15-5212-0?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 515.39
|
| 520 |
|
|
|a This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems
|