TY  - BOOK
AU  - Luo,Albert C.J.
ED  - SpringerLink (Online service)
TI  - Bifurcation and Stability in Nonlinear Discrete Systems
T2  - Nonlinear Physical Science,
SN  - 9789811552120
AV  - QA267.7 
U1  - 620 23
PY  - 2020///
CY  - Singapore
PB  - Springer Singapore, Imprint: Springer
KW  - Computational complexity
KW  - Dynamics
KW  - Ergodic theory
KW  - Vibration
KW  - Dynamical systems
KW  - Control engineering
KW  - Complexity
KW  - Dynamical Systems and Ergodic Theory
KW  - Vibration, Dynamical Systems, Control
KW  - Control and Systems Theory
N1  - 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.
N2  - 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
UR  - https://doi.org/10.1007/978-981-15-5212-0
ER  -