Abstract: We consider a planar system of ordinary differential
equations having its origin in a geophysical fluid flow problem. The evolution
of oscillatory solutions, i.e., solutions which are linear combinations of
functions of form and under increasing friction is
investigated. It is shown that under proper conditions, these oscillatory
solutions first vanish from the solution set as friction is increased, and then
reappear for still greater friction.
Keywords and phrases: damped oscillations, planar ordinary differential equations systems.
