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.
Albert C. J. Luo
Bifurcation and Stability in Nonlinear Discrete Systems
Bifurcation and Stability in Nonlinear Discrete Systems
语言 英语 ● 格式 PDF ● 网页 313 ● ISBN 9789811552120 ● 文件大小 5.3 MB ● 出版者 Springer Singapore ● 市 Singapore ● 国家 SG ● 发布时间 2020 ● 下载 24 个月 ● 货币 EUR ● ID 7572234 ● 复制保护 社会DRM