  We present our study of stability of differentially rotating, axisymmetric
neutron stars described by a polytropic equation of state with $\Gamma = 2$. We
focus on quasi-toroidal solutions with a degree of differential rotation
$\widetilde A=1$. Our results show that for a wide range of parameters
hypermassive, quasi-toroidal neutron stars are dynamically stable against
quasi-radial perturbations, which may have implications for newly born neutron
stars and binary neutron stars mergers.
