RESUMO
The present paper addresses the swing equation with additional delayed damping as an example for pendulumlike systems. In this context, it is proved that recurring sub- and supercritical Hopf bifurcations occur if time delay is increased. To this end, a general formula for the first Lyapunov coefficient in second order systems with additional delayed damping and delay-free nonlinearity is given. Insofar, the paper extends the results about the stability switching of equilibria in linear time delay systems from Cooke and Grossman. In addition to the analytical results, periodic solutions are numerically dealt with. The numerical results demonstrate how a variety of qualitative behaviors are generated in the simple swing equation by only introducing time delay in a damping term.
RESUMO
We describe the development and operation of an emergency support service team in the Emergency Department of the Kingston General Hospital, Kingston, Ont. The team, composed of professionals from other departments of the hospital, provides emotional and practical support to family members or survivors in medical emergencies. We discuss the roles of the team members and their procedures for dealing with distress and grief.