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Bifurcation and Stability in Nonlinear Discrete Systems

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  • 324pages
  • 12 heures de lecture

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Focusing on bifurcation and stability in nonlinear discrete systems, the book examines both monotonic and oscillatory stability, particularly regarding period-1 fixed points. It delves into local and global analyses of stability, using 1-dimensional polynomial discrete systems as a framework. The text incorporates the Yin-Yang theory to explore the dynamics of these systems and discusses the existence conditions of fixed points. Additionally, it covers normal forms and infinite-fixed-point discrete systems, providing a comprehensive understanding of nonlinear dynamics.

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Bifurcation and Stability in Nonlinear Discrete Systems, Albert C. J. Luo

Langue
Année de publication
2020
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Langue
Anglais
Publié
2020
Format
rigide
Pages
324
ISBN13
9789811552113
Séries
Description
Focusing on bifurcation and stability in nonlinear discrete systems, the book examines both monotonic and oscillatory stability, particularly regarding period-1 fixed points. It delves into local and global analyses of stability, using 1-dimensional polynomial discrete systems as a framework. The text incorporates the Yin-Yang theory to explore the dynamics of these systems and discusses the existence conditions of fixed points. Additionally, it covers normal forms and infinite-fixed-point discrete systems, providing a comprehensive understanding of nonlinear dynamics.