The effect of the beam-beam interactions on the stability of impedance mode
is discussed. The detuning is evaluated by the means of single particle
tracking in arbitrarily complex collision configurations, including lattice
non-linearities, and used to numerically evaluate the dispersion integral. This
approach also allows the effect of non-Gaussian distributions to be considered.
Distributions modified by the action of external noise are discussed.Comment: 5 pages, contribution to the ICFA Mini-Workshop on Beam-Beam Effects
in Hadron Colliders, CERN, Geneva, Switzerland, 18-22 Mar 201