The time evolution of the atmosphere can be described by a set of geophysical fluid dynamical laws. Atmospheric dynamics deals with the analysis of these laws to understand the mechanism of various types of atmospheric variations. The knowledge and insights gained from dynamical analyses often provide important guidance for interpreting observations and for improving numerical models. Faculty members in our Institute are studying the excitation and propagation processes of atmospheric waves in the stratosphere and the troposphere, and are developing methods to characterize these waves in observations. A better understanding of these processes can lead to their better treatments in the global general circulation models, which are known to suffer from deficiencies in these processes.