The generalized Ricci flow is first studied by Streets and Tian.
It can be viewed as the Ricci flow of connections with torsion which has
many applications in non-Kähler geometry. In this talk, we will study the
fixed points of the generalized Ricci flow which are called the steady
generalized Ricci solitons. Similar to Ricci flow, generalized Ricci flow is
also a gradient flow so we can further compute the variation formulas and
see some linear stable examples. Our main result is to show that the concept
of dynamical stability and linear stability are equivalent on the steady
gradient generalized Ricci solitons.