Bifurcation and Stability in Nonlinear Discrete Systems [[electronic resource] /] / by Albert C. J. Luo
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Luo Albert C. J
|
| Titolo: |
Bifurcation and Stability in Nonlinear Discrete Systems [[electronic resource] /] / by Albert C. J. Luo
|
| Pubblicazione: | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 |
| Edizione: | 1st ed. 2020. |
| Descrizione fisica: | 1 online resource (X, 313 p. 43 illus., 16 illus. in color.) |
| Disciplina: | 515.35 |
| Soggetto topico: | Computational complexity |
| Dynamics | |
| Ergodic theory | |
| Vibration | |
| Dynamical systems | |
| Control engineering | |
| Complexity | |
| Dynamical Systems and Ergodic Theory | |
| Vibration, Dynamical Systems, Control | |
| Control and Systems Theory | |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Local Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index. . |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Bifurcation and Stability in Nonlinear Discrete Systems |
| ISBN: | 981-15-5212-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910427692403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Nonlinear Physical Science, . 1867-8440