Wave Packets and Their Bifurcations in Geophysical Fluid Dynamics

1. Front Matter

   Pages i-ix

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2. Introduction

   • Huijun Yang

   Pages 1-8

3. The Wave Packet Theory

   • Huijun Yang

   Pages 9-48

4. Evolution of the Wave Packet in Barotropic Flows

   • Huijun Yang

   Pages 49-81

5. Global Behavior: The Wave Packet Structural Vacillation

   • Huijun Yang

   Pages 83-109

6. Change in Global Behavior: Bifurcation

   • Huijun Yang

   Pages 111-152

7. Secondary Bifurcation

   • Huijun Yang

   Pages 153-180

8. Evolution of Wave Packets in Stratified Baroclinic Basic Flow

   • Huijun Yang

   Pages 181-213

9. Wave Packets and Teleconnections

   • Huijun Yang

   Pages 215-236

10. Back Matter

    Pages 237-249

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The material in this book is based predominantly on my recent work. It is the first monograph on the subject, though some support material may overlap other monographs. The investigation of wave packets and their bi­ furcations is very interesting, and useful theoretically and in practice, not only in geophysical fluid dynamics, which is the field to which the theory is being applied here, but also in other fields in mathematics and the natural sciences. I hope that the applied mathematician will find reading this book worthwhile, especially the material on the behavior of highly nonlinear dy­ namic systems. However, it is my belief that applying the concepts and methods developed here to other fields will be both interesting and con­ structive, since there are numerous phenomena in other areas of physics that share the characteristics of those in geophysical fluid dynamics. The theory developed here provides an effective tool to investigate the structure and the structural changes of dynamic systems in physics. Applications of the theory in geophysical fluid dynamics are an example of its usefulness and effectiveness. Some of the results presented here give us more insight into the nature of geophysical fluids. Moreover, the material is presented systematically and developmentally. Necessary basic knowledge is provided to make the book more readable for graduate students and researchers in such fields as applied mathematics, geophysical fluid dynamics, atmospheric sciences, and physical oceanogra­ phy.

• Meteorology
• Ocean
• Oceanography
• fluid dynamics
• hydrodynamics
• spheric

• Geophysical Fluid Dynamics Institute, The Florida State University, Tallahassee, USA

  Huijun Yang

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