Singularity and Dynamics on Discontinuous Vector Fields


  • Albert Luo, Ph.D., Southern Illinois University, Department of Mechanical and Industrial Engineering, Edwardsville, USA

This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially. The methodology and techniques presented in this book are applicable to discontinuous dynamical systems in physics, engineering and control. In addition, they may provide useful tools to solve non-traditional dynamics in biology, stock market and internet network et al, which cannot be easily solved by the traditional Newton mechanics. The new ideas and concepts will stimulate ones’ thought and creativities in corresponding subjects. The author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in dynamics.
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Mechanical Engineers, Control Engineers, Physicians and Mathematicians. Also for Bio-Physicians, Managers and Students.


Book information

  • Published: July 2006
  • Imprint: ELSEVIER
  • ISBN: 978-0-444-52766-0

Table of Contents

PrefaceChapter 1. IntroductionChapter 2. Flow Passability and Tangential FlowsChapter 3. Flow Switching BifurcationsChapter 4. Transversal Singularity and Bouncing FlowsChapter 5. Real and Imaginary FlowsChapter 6. Discontinuous Vector Fields with Flow BarriersChapter 7. Transport Laws and Mapping DynamicsChapter 8. Symmetry and Fragmentized Strange AttractorsAppendixReferencesSubject Index