  We study the dynamical behaviors of a system of five coupled nonlinear
equations that describes the dynamics of acoustic-gravity waves in the
atmosphere. A linear stability analysis together with the analysis of Lyapunov
exponents spectra are performed to show that the system can develop from
ordered structures to chaotic states. Numerical simulation of the system of
equations reveals that an interplay between the order and chaos indeed exists
depending on whether the control parameter $s_1$, associated with the density
scale height of acoustic-gravity waves, is below or above its critical value.
