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Focusing on bifurcation and stability, the book delves into nonlinear discrete systems, emphasizing both monotonic and oscillatory stability. It covers local stability and bifurcation of period-1 fixed points, exploring higher-order singularities and global analysis in 1-dimensional polynomial systems. Drawing on Yin-Yang theory, it investigates the dynamics of forward and backward systems, existence conditions of fixed points, and provides insights into normal forms and infinite-fixed-point systems. This comprehensive approach enhances understanding of nonlinear dynamics.
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Bifurcation and Stability in Nonlinear Discrete Systems, Albert C. J. Luo
- Idioma
- Publicado en
- 2021
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- Título
- Bifurcation and Stability in Nonlinear Discrete Systems
- Idioma
- Inglés
- Autores
- Albert C. J. Luo
- Editorial
- Springer Nature Singapore
- Publicado en
- 2021
- Formato
- Tapa blanda
- Páginas
- 324
- ISBN13
- 9789811552144
- Serie
- Etiquetas
- No ficción, Ciencia y Matemáticas, Matemáticas
- Descripción
- Focusing on bifurcation and stability, the book delves into nonlinear discrete systems, emphasizing both monotonic and oscillatory stability. It covers local stability and bifurcation of period-1 fixed points, exploring higher-order singularities and global analysis in 1-dimensional polynomial systems. Drawing on Yin-Yang theory, it investigates the dynamics of forward and backward systems, existence conditions of fixed points, and provides insights into normal forms and infinite-fixed-point systems. This comprehensive approach enhances understanding of nonlinear dynamics.