Discontinuous Dynamical Systems

  • Albert C. J. Luo

Table of contents

  1. Front Matter
    Pages i-xi
  2. Albert C. J. Luo
    Pages 1-7
  3. Albert C. J. Luo
    Pages 9-76
  4. Albert C. J. Luo
    Pages 77-164
  5. Albert C. J. Luo
    Pages 165-258
  6. Albert C. J. Luo
    Pages 259-356
  7. Albert C. J. Luo
    Pages 357-446
  8. Albert C. J. Luo
    Pages 447-520
  9. Albert C. J. Luo
    Pages 521-622
  10. Albert C. J. Luo
    Pages 623-683
  11. Back Matter
    Pages 685-692

About this book

Introduction

“Discontinuous Dynamical Systems” presents a theory of dynamics and flow switchability in discontinuous dynamical systems, which can be as the mathematical foundation for a new dynamics of dynamical system networks. The book includes a theory for flow barriers and passability to boundaries in discontinuous dynamical systems that will completely change traditional concepts and ideas in the field of dynamical systems. Edge dynamics and switching complexity of flows in discontinuous dynamical systems are explored in the book and provide the mathematical basis for developing the attractive network channels in dynamical systems. The theory of bouncing flows to boundaries, edges and vertexes in discontinuous dynamical systems with multi-valued vector fields is described in the book as a “billiard” theory of dynamical system networks. The theory of dynamical system interactions in discontinued dynamical systems can be used as a general principle in dynamical system networks, which is applied to dynamical system synchronization. 

The book represents a valuable reference work for university professors and researchers in applied mathematics, physics, mechanics, and control.
 
Dr. Albert C.J. Luo is an internationally respected professor in nonlinear dynamics and mechanics, and he works at Southern Illinois University Edwardsville, USA.

Keywords

Discontinuous dynamical systems Discontinuous dynamical systems Discontinuous vector fields Discontinuous vector fields Flow barriers Flow barriers Impulsive systems Impulsive systems System Interactions System Interactions

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-22461-4
  • Copyright Information Higher Education Press,Beijing and Springer-Verlag GmbH Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-22460-7
  • Online ISBN 978-3-642-22461-4
  • About this book