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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.
Zakup książki
Bifurcation and Stability in Nonlinear Discrete Systems, Albert C. J. Luo
- Język
- Rok wydania
- 2021
- Oprawa
- (miękka)
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- Tytuł
- Bifurcation and Stability in Nonlinear Discrete Systems
- Język
- angielski
- Autorzy
- Albert C. J. Luo
- Wydawca
- Springer Nature Singapore
- Rok wydania
- 2021
- Oprawa
- miękka
- Liczba stron
- 324
- ISBN13
- 9789811552144
- Seria
- Tagi
- Opis
- 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.