| Title | : | Bifurcation and Stability in Nonlinear Discrete Systems |
|---|---|---|
| Author | : | Albert C. J. Luo |
| Release | : | 2020-08-13 |
| Kind | : | ebook |
| Genre | : | Science & Nature, Books, Professional & Technical, Engineering, Mathematics, Electrical Engineering |
| Size | : | 48221846 |
| 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. |
