The presence of a kHz frequency in LMXBs has been expected from scaling laws,
by analogy with the QPO phenomenon in HMXB X-ray pulsars. Interpretation of the
two kHz frequencies, observed in accreting neutron stars, in terms of
non-linear resonance in strong-field gravity led to the prediction of twin QPOs
in black hole systems, in a definite frequency ratio (such as 2/3). The imprint
of a subharmonic of the 401 Hz rotation rate in the frequencies of the QPOs
detected in the accreting millisecond pulsar is at once a signature of
non-linear resonance and of coupling between accretion disk modes and the
neutron star spin.Comment: presented at X-ray Timing 2003: Rossi and Beyond, Boston, November
200