  Alkali metal-noble gas NMR gyroscope is widely used for precision rotation
measurement in fundamental and applied physics. By numerically simulating the
alkali-nuclear-nuclear tri-spin dynamics, we investigate the dependence of
gyroscope response on alkali spin relaxation time and nuclear spin
magnetization. We found additional resonance peaks appear due to a new source
of instability, namely the inherent multistability of tri-spin dynamics. The
numerical simulation results agree well with the recent experiment, enabling a
better understanding and exploitation of the gyroscope signal.
