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Memorized Discrete Systems and Time-delay [electronic resource] / by Albert C. J. Luo.

By: Luo, Albert C. J [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Nonlinear Systems and Complexity: 17Publisher: Cham : Springer International Publishing : Imprint: Springer, 2017Edition: 1st ed. 2017.Description: X, 298 p. 35 illus., 17 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319427782.Subject(s): Dynamics | Nonlinear theories | Nonlinear Optics | System theory | Bioinformatics | Econometrics | Applied Dynamical Systems | Nonlinear Optics | Complex Systems | Computational and Systems Biology | EconometricsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 515.39 Online resources: Click here to access online
Contents:
Memorized Linear Discrete Systems -- Memorized Nonlinear Discrete Systems -- Discretization of Time-delay Systems -- Periodic Flows in Time-delay Systems -- Time-delay Duffing Oscillator.
In: Springer Nature eBookSummary: This book examines discrete dynamical systems with memory—nonlinear systems that exist extensively in biological organisms and financial and economic organizations, and time-delay systems that can be discretized into the memorized, discrete dynamical systems. It book further discusses stability and bifurcations of time-delay dynamical systems that can be investigated through memorized dynamical systems as well as bifurcations of memorized nonlinear dynamical systems, discretization methods of time-delay systems, and periodic motions to chaos in nonlinear time-delay systems. The book helps readers find analytical solutions of MDS, change traditional perturbation analysis in time-delay systems, detect motion complexity and singularity in MDS; and determine stability, bifurcation, and chaos in any time-delay system.
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Memorized Linear Discrete Systems -- Memorized Nonlinear Discrete Systems -- Discretization of Time-delay Systems -- Periodic Flows in Time-delay Systems -- Time-delay Duffing Oscillator.

This book examines discrete dynamical systems with memory—nonlinear systems that exist extensively in biological organisms and financial and economic organizations, and time-delay systems that can be discretized into the memorized, discrete dynamical systems. It book further discusses stability and bifurcations of time-delay dynamical systems that can be investigated through memorized dynamical systems as well as bifurcations of memorized nonlinear dynamical systems, discretization methods of time-delay systems, and periodic motions to chaos in nonlinear time-delay systems. The book helps readers find analytical solutions of MDS, change traditional perturbation analysis in time-delay systems, detect motion complexity and singularity in MDS; and determine stability, bifurcation, and chaos in any time-delay system.

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