Bifurcation and Stability in Nonlinear Discrete Systems

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Éditeur :

Springer


Collection :

Nonlinear Physical Science

Paru le : 2020-08-13

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Description

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.
Pages
313 pages
Collection
Nonlinear Physical Science
Parution
2020-08-13
Marque
Springer
EAN papier
9789811552113
EAN PDF
9789811552120

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
31
Taille du fichier
5181 Ko
Prix
94,94 €
EAN EPUB
9789811552120

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
31
Taille du fichier
43612 Ko
Prix
94,94 €