  We analyze a scheme for storage of entanglement quantified by the quantum
Fisher information in the two-axis countertwisting model. A characteristic
feature of the two-axis countertwisting Hamiltonian is the existence of the
four stable center and two unstable saddle fixed points in the mean-field phase
portrait. The entangled state is generated dynamically from an initial spin
coherent state located around an unstable saddle fixed point. At an optimal
moment of time the state is shifted to a position around stable center fixed
points by a single rotation, where its dynamics and properties are
approximately frozen. We also discuss evolution with noise. In some cases the
effect of noise turns out to be relatively weak, which is explained by parity
conservation.
