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This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems.
Produkteigenschaften
- Artikelnummer: 9789811552113
- Medium: Buch
- ISBN: 978-981-15-5211-3
- Verlag: Springer Nature Singapore
- Erscheinungstermin: 14.08.2020
- Sprache(n): Englisch
- Auflage: 1. Auflage 2020
- Serie: Nonlinear Physical Science
- Produktform: Gebunden
- Gewicht: 653 g
- Seiten: 313
- Format (B x H x T): 160 x 241 x 24 mm
- Ausgabetyp: Kein, Unbekannt