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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.
Buchkauf
Bifurcation and Stability in Nonlinear Discrete Systems, Albert C.J. Luo
- Sprache
- Erscheinungsdatum
- 2020
- product-detail.submit-box.info.binding
- (Hardcover)
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- Sprache
- Englisch
- Autor*innen
- Albert C.J. Luo
- Erscheinungsdatum
- 2020
- Einband
- Hardcover
- Seitenzahl
- 324
- ISBN13
- 9789811552113
- Reihe
- Schlagwörter
- Sachbücher, Wissenschaft & Mathematik, Mathematik
- Beschreibung
- 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.