Singularity and Dynamics on Discontinuous Vector Fields

This book discussed the fundamental problems in dynamics, which is extensively exist in engineering, natural and social sciences. The book presented is a constrained naturally or artificially. The methodology is a discontinuous dynamic system in physics, engineering and control. In addition, they may provide useful tools to solve traditional non-traditional dynamics in biology, stock market and internet network, which can not be solved by the traditional Newton mechanics. The new ideas and concepts will stimulate those who think and creativities. The author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a 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

Preface
Chapter 1. Introduction
Chapter 2. Flow Passability and Tangential Flows
Chapter 3. Flow Switching Bifurcations
Chapter 4. Transversal Singularity and Bouncing Flows
Chapter 5. Real and Imaginary Flows
Chapter 6. Discontinuous Vector Fields with Flow Barriers
Chapter 7. Transport Laws and Mapping Dynamics
Chapter 8. Symmetry and Fragmentized Strange Attractors
Appendix
References
Subject Index