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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
- Idioma
- Publicado en
- 2020
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- Idioma
- Inglés
- Autores
- Albert C. J. Luo
- Editorial
- Springer Nature Singapore
- Publicado en
- 2020
- Formato
- Tapa dura
- Páginas
- 324
- ISBN13
- 9789811552113
- Serie
- Etiquetas
- No ficción, Ciencia y Matemáticas, Matemáticas
- Descripción
- 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.