Singularity and Dynamics on Discontinuous Vector Fields

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Quantum Theory
Cover of the book Singularity and Dynamics on Discontinuous Vector Fields by Albert C.J. Luo, Ph.D., Elsevier Science
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Author: Albert C.J. Luo, Ph.D. ISBN: 9780080480930
Publisher: Elsevier Science Publication: July 7, 2006
Imprint: Elsevier Science Language: English
Author: Albert C.J. Luo, Ph.D.
ISBN: 9780080480930
Publisher: Elsevier Science
Publication: July 7, 2006
Imprint: Elsevier Science
Language: English

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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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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