Dynamical Systems

Discontinuity, Stochasticity and Time-Delay

  • Albert C.J. Luo

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Nonlinear and Discontinuous Dynamical Systems

  3. Time-delay Systems

  4. Switching and Stochastic Dynamical Systems

    1. Front Matter
      Pages 188-188
    2. Albert C. J. Luo, Yang Wang
      Pages 189-201

About these proceedings


Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system problems, such as the behavior of suspension systems of railways, nonlinear vibration and applied control in coal manufacturing, along with the multifractal spectrum of LAN traffic, are discussed at length, giving the reader a sense of real-world instances where these theories are applied. This volume also:

  • Discusses discontinuous dynamical systems as applied to real-world issues, like the behavior of suspension systems in railways, the multifractal spectrum of LAN traffic and their correlations, as well as the effect of nonlinear vibration and applied control on coal manufacturing. 
  • Includes material on time-delay systems as they relate to linear switching systems, dynamics of complex networks and machine tools with multiple boundaries. 
  • Presents numerous theories and aspects of vibration and control, using worked mathematical examples and empirical evidence to argue the pros and cons of all theories.

Dynamical Systems: Discontinuous, Stochasticity and Time-Delay is the ideal book for engineers and academic researchers working in areas like mechanical and control engineering, as well as applied mathematics.


Chaos Wavelet bifurcation control engineering dynamical system friction identification image processing linearity nonlinearity saturation simulation stability time delay vibration

Editors and affiliations

  • Albert C.J. Luo
    • 1
  1. 1.Edwardsville, Department of MechanicalSouthern Illinois UniversityEdwardsvilleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-5754-2
  • Copyright Information Springer-Verlag New York 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Engineering
  • Print ISBN 978-1-4419-5753-5
  • Online ISBN 978-1-4419-5754-2
  • About this book