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  • © 2017

Memorized Discrete Systems and Time-delay

Authors:

  • Introduces memorized discrete systems (MDS)
  • Provides a systematic method for MDS and applications to time-delay systems
  • Discusses MDS in connection to periodic motions to chaos
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
  2. Memorized Linear Discrete Systems

    • Albert C. J. Luo
    Pages 1-50
  3. Memorized Nonlinear Discrete Systems

    • Albert C. J. Luo
    Pages 51-114
  4. Discretization of Time-delay Systems

    • Albert C. J. Luo
    Pages 115-220
  5. Periodic Flows in Time-delay Systems

    • Albert C. J. Luo
    Pages 221-270
  6. Time-Delayed Duffing Oscillator

    • 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.

Reviews

“This monograph is devoted to the study of discrete dynamical systems with memory. It gives a comprehensive presentation of methods that have been developed for time-delay systems which can be discretized into the memorized discrete dynamical systems.” (Anatoly Martynyuk, zbMATH 1408.93001, 2019)

Authors and Affiliations

  • Department of Mechanical and Industrial Engineering, School of Engineering, Southern Illinois University Edwardsville, Edwardsville, USA

    Albert C. J. Luo

About the author

Professor Albert C.J. Luo is Professor of Mechanical Engineering at the University of Southern Illinois, Edwardsville.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access