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The intrinsic nonlinearity of atmospheric motions is one of the frontiers of atmospheric sciences. In order to summarize what we have learned about and how is the "state of the art" of this field, an International Summer Colloquium on Nonlinear Dynamics of the Atmosphere was held in Beijing, China from 10 to 20 August 1986, organized by Laboratory of Numerical Modelling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric physics, Academia Sinica. More than sixty attendants and one hundred participants from different countries attended the Colloquium.

 

The Colloquium was composed of five parts, i.e., nonlinear waves; multiple equilibration, bifurcation, catastrophe and chaos; interaction between waves and bas'ic current; dynamical instability and general behaviours of the atmosphere; and computation method and computation instability. Most of these papers or abstracts are collected in this volume.

CONTENTS

 

Preface
Invited Lectures
1. Stratospheric Multiple Equilibria and Seasonal Variation
2. Deterministic and Stochastic Nonlinear Equilibration
3. On Multiple Equilibria and Weather Regimes
4. Dynamic Processes of the Sudden change in Seasonal Variations
5. Advances in Studies of Nonlinear Mechanism of Abrupt change and Chaotic Behavior of the Atmospheric Circulation
6. Dynamic Features of Multiple Equilibration in a Forced Dissipative System and Energy Levels of Atmosphere
7. Evolution and Propagation of Large-scale Disturbances and Their Interaction with Basic Flow in a Non-uniform Atmosphere
8. A Slowly-varying Model of the QBO Involving Effects of Transience, Self-acceleration and Saturation of Equatorial Waves
9. Some Dynamical Features of High-dimensional Lorenz System
10. Stochastic Repersentation of Nonlinear Processes
11. Barotropic and Baroclinic Adjustment
12. Variational Principle of Instability of Atmospheric Motions
13. Some General Properties of the Atmospheric Model: in H Space, Rn Space, Point Mapping, Cell Mapping
14. Some Theoretical and Experimental Studies on Rossby-Haurwitz waves
15. Nonlinear Waves in the Atmosphere
16. Periodic, Solitary and Discontinuous Periodic Solutions of Nonlinear Waves in the Atmosphere and Their Existence
17. Symplectic Geometry and Numerical Methods in Fluid Dynamics
18. Semi-Lagrangian Methods for Primitive Equation Computations
19. On Optimal Vertical Discretization for Atmospheric Models
20. On the Nonlinear Computational Instablity
Presented Papers
21. Nonlinear Instability of Rossby-Haurwitz Wave
22. Non-linear Dynamic Instablity of the Two Dimensional
23. Nonlinear Influences of Horizontal Distribution of Zonal Wind
24. Limit Cycles Formed by Coupling between a Forced Wave and a Transient Wave-A Possible Mechanism for Index Cycle
25. On the Multiplicity and Dynamics of Equilibria of Baroclinic
26. An Experimental Study of Topographic Effect on the Multiple
27. Equilibrium and Seasonal Change of Atmospheric Circulation Through Topographical Forcing and Meridional Heating
28. Sensitivity of the Multiple Equilibration to Governing System, Mode Chosen and Parameter
29. investigation on A Physical Mechanism of Formation and Maintenance of the Blocking Situation During the Northern Hemisphere Winter
30. Nonlinear Wave-Wave interactions and Bifurcations in A Double Parallel-Connected Lorenz System
31. Discontinuous Periodic Solution of the Nonlinear inertial Gravity Wave
32. Nonlinear Rossby Wave induced by the Large-Scal Topography
33. A Truncated-Spectrum Model of Burger’S-KDV Equation
34. Nonlinear Mapping in A Climate Model
35. A Preliminary Study of Baroclinic Nonlinear Rossby Waves
36. the State Catastrophe and Low Frequency Oscillation of the Northern Hemisphere General Circulation
37. the Phase Shift Equation of the Non-Linear Quasi-Stationary Ultra-Long Waves and A Climatic Teleconnection Mechanism
38. the Irreversibility and Non-Periodicity of Hydro-thermodynamic Processes in the Atmosphere
39. A Study on Stability Structure of Synoptic Scale Systems, Bifurcation of the Phase Path Characteristics and the influence of Time-Oscillation of Heat Source
40. Multiple Equilibria in A thermally Forced Baroclinic Atmosphere and the Subtropic High
41. Computation of Lyapunov Exponent and Fractal Dimension by Using Atmospheric Turbulent Data
42. Nonlinear Waves in Weak Shear Flows Via Maple System

 

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