Memorized Discrete Systems and Time-delay

  • Albert C. J. Luo

Part of the Nonlinear Systems and Complexity book series (NSCH, volume 17)

Table of contents

  1. Front Matter
    Pages i-x
  2. Albert C. J. Luo
    Pages 1-50
  3. Albert C. J. Luo
    Pages 51-114
  4. Albert C. J. Luo
    Pages 115-220
  5. Albert C. J. Luo
    Pages 221-270
  6. Albert C. J. Luo
    Pages 271-296
  7. Back Matter
    Pages 297-298

About this book


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.


Memorized discrete systems Discretization of time-delay systems Stability and bifurcations Periodic motions to chaos Bifurcation trees Nonlinear time-delay systems

Authors and affiliations

  • Albert C. J. Luo
    • 1
  1. 1.Department of Mechanical and Industrial Engineering, School of EngineeringSouthern Illinois University EdwardsvilleEdwardsvilleUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-42777-5
  • Online ISBN 978-3-319-42778-2
  • Series Print ISSN 2195-9994
  • Series Online ISSN 2196-0003
  • Buy this book on publisher's site