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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
- Language
- Released
- 2020
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- (Hardcover)
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- Language
- English
- Authors
- Albert C.J. Luo
- Publisher
- Springer Nature Singapore
- Released
- 2020
- Format
- Hardcover
- Pages
- 324
- ISBN13
- 9789811552113
- Series
- 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.