Singularity and Dynamics on Discontinuous Vector Fields
eBook - ePub

Singularity and Dynamics on Discontinuous Vector Fields

  1. 310 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Singularity and Dynamics on Discontinuous Vector Fields

About this book

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.- Challenging continuous Newton's dynamics- Original theory and seeds of new researches in the field- Wide spectrum of applications in science and engineering- Systematic presentation and clear illustrations

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Yes, you can access Singularity and Dynamics on Discontinuous Vector Fields by Albert C.J. Luo in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright page
  5. Preface
  6. Chapter 1: Introduction
  7. Chapter 2: Flow Passability and Tangential Flows
  8. Chapter 3: Flow Switching Bifurcations
  9. Chapter 4: Transversal Singularity and Bouncing Flows
  10. Chapter 5: Real and Imaginary Flows
  11. Chapter 6: Discontinuous Vector Fields with Flow Barriers
  12. Chapter 7: Transport Laws and Mapping Dynamics
  13. Chapter 8: Symmetry and Fragmentized Strange Attractor
  14. Appendix A
  15. Reference
  16. Index