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Focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems, this book explores mathematical conditions for bifurcations, including simple and higher-order singularity period-1 fixed points. It delves into bifurcation trees leading from period-1 to chaos through period-doubling and saddle-node bifurcations. Additionally, it introduces methods for period-2 and period-doubling renormalization, revealing mechanisms for period-n fixed points on bifurcation trees, providing readers with valuable insights into cutting-edge research in nonlinear discrete systems.
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Bifurcation Dynamics in Polynomial 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
- 444
- ISBN13
- 9789811552076
- Series
- Description
- Focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems, this book explores mathematical conditions for bifurcations, including simple and higher-order singularity period-1 fixed points. It delves into bifurcation trees leading from period-1 to chaos through period-doubling and saddle-node bifurcations. Additionally, it introduces methods for period-2 and period-doubling renormalization, revealing mechanisms for period-n fixed points on bifurcation trees, providing readers with valuable insights into cutting-edge research in nonlinear discrete systems.