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Record Nr. |
UNISA996418178303316 |
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Autore |
Luo Albert C. J |
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Titolo |
Bifurcation and Stability in Nonlinear Discrete Systems [[electronic resource] /] / by Albert C. J. Luo |
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Pubbl/distr/stampa |
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Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 |
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ISBN |
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Edizione |
[1st ed. 2020.] |
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Descrizione fisica |
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1 online resource (X, 313 p. 43 illus., 16 illus. in color.) |
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Collana |
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Nonlinear Physical Science, , 1867-8440 |
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Disciplina |
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Soggetti |
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Computational complexity |
Dynamics |
Ergodic theory |
Vibration |
Dynamical systems |
Control engineering |
Complexity |
Dynamical Systems and Ergodic Theory |
Vibration, Dynamical Systems, Control |
Control and Systems Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. . |
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Sommario/riassunto |
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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 |
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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. |
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