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Autore: |
Luo Albert C. J
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Titolo: |
Bifurcation and Stability in Nonlinear Discrete Systems / / by Albert C. J. Luo
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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 |
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