Qualitative Properties of Local Random Invariant Manifolds for SPDEs   with Quadratic Nonlinearity
  The qualitative properties of local random invariant manifolds for stochastic partial differential equations with quadratic nonlinearities and multiplicative noise is studied by a cut off technique. By a detail estimates on the Perron fixed point equation describing the local random invariant manifold, the structure near a bifurcation is given. 
Dirk Blomker, Wei Wang