Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using MAPLE Original Research Article

In this paper we study, mainly numerically, stochastic pitchfork bifurcation. By stochastic bifurcation we mean that new invariant measures appear as parameters contained in random dynamical systems are varied. We also show, by example, that using computer algebra MAPLE one can calculate stochastic normal forms which can be used to study stochastic bifurcations.