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Title | Bifurcation and Stability in Nonlinear Discrete Systems |
Author(s) | Luo, Albert C. J |
Publication | Singapore, Springer Singapore, 2020. |
Description | X, 313 p. 43 illus., 16 illus. in color : online resource |
Abstract Note | 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 |
ISBN,Price | 9789811552120 |
Keyword(s) | 1. COMPLEXITY
2. COMPUTATIONAL COMPLEXITY
3. Control and Systems Theory
4. Control engineering
5. DYNAMICAL SYSTEMS
6. Dynamical Systems and Ergodic Theory
7. DYNAMICS
8. EBOOK
9. EBOOK - SPRINGER
10. ERGODIC THEORY
11. VIBRATION
12. Vibration, Dynamical Systems, Control
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Item Type | eBook |
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Call# | Status | Issued To | Return Due On | Physical Location |
I09015 |
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