Nonlinear Systems and Complexity

Memorized Discrete Systems and Time-delay

Authors: Luo, Albert C. J.

  • 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
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eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-319-42778-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-42777-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.99
price for USA in USD
  • ISBN 978-3-319-82661-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

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

Table of contents (5 chapters)

  • Memorized Linear Discrete Systems

    Luo, Albert C. J.

    Pages 1-50

  • Memorized Nonlinear Discrete Systems

    Luo, Albert C. J.

    Pages 51-114

  • Discretization of Time-delay Systems

    Luo, Albert C. J.

    Pages 115-220

  • Periodic Flows in Time-delay Systems

    Luo, Albert C. J.

    Pages 221-270

  • Time-Delayed Duffing Oscillator

    Luo, Albert C. J.

    Pages 271-296

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-319-42778-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-42777-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.99
price for USA in USD
  • ISBN 978-3-319-82661-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Memorized Discrete Systems and Time-delay
Authors
Series Title
Nonlinear Systems and Complexity
Series Volume
17
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-42778-2
DOI
10.1007/978-3-319-42778-2
Hardcover ISBN
978-3-319-42777-5
Softcover ISBN
978-3-319-82661-5
Series ISSN
2195-9994
Edition Number
1
Number of Pages
X, 298
Number of Illustrations
18 b/w illustrations, 17 illustrations in colour
Topics