| Description |
1 online resource (x, 300 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file |
| Series |
Monograph series on nonlinear science and complexity ; v. 3 |
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Monograph series on nonlinear science and complexity ; v. 3.
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| Summary |
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. |
| Contents |
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. |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Print version record. |
| Language |
English. |
| Subject |
Dynamics.
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Vector fields.
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Dynamique.
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Champs vectoriels.
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kinetics (dynamics)
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SCIENCE -- Mechanics -- Dynamics.
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Dynamics
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Vector fields
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| Other Form: |
Print version: Luo, Albert C.J. Singularity and dynamics on discontinuous vector fields. Amsterdam ; Oxford : Elsevier, 2006 0444527664 9780444527660 (OCoLC)65468129 |
| ISBN |
9780444527660 |
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0444527664 |
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9780080480930 (electronic bk.) |
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0080480934 (electronic bk.) |
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1281051187 |
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9781281051189 |
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9786611051181 |
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661105118X |
| Standard No. |
AU@ 000048130768 |
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DEBBG BV039831971 |
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DEBBG BV042311052 |
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DEBSZ 277487889 |
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DEBSZ 482354089 |
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NZ1 12434670 |
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AU@ 000055709445 |
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