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

By: Contributor(s): Material type: TextTextSeries: Nonlinear Systems and Complexity ; 17Publisher: Cham : Springer International Publishing : Imprint: Springer, 2017Description: X, 298 p. 35 illus., 17 illus. in color. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319427782
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 620 23
Online resources:
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 eBooksSummary: 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.