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Memorized Discrete Systems and Time-delay

✍ Scribed by Albert C. J. Luo (auth.)

Publisher
Springer International Publishing
Year
2017
Tongue
English
Leaves
307
Series
Nonlinear Systems and Complexity 17
Edition
1
Category
Library
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✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-x
Memorized Linear Discrete Systems....Pages 1-50
Memorized Nonlinear Discrete Systems....Pages 51-114
Discretization of Time-delay Systems....Pages 115-220
Periodic Flows in Time-delay Systems....Pages 221-270
Time-Delayed Duffing Oscillator....Pages 271-296
Back Matter....Pages 297-298

✦ Subjects

Complexity;Applications of Nonlinear Dynamics and Chaos Theory;Complex Systems;Systems Biology;Econometrics

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