stochastic sensitivity. ́

BACKWARD STOCHASTIC BIFURCATIONS OF THE HENON MAP

We study the stochastically forced limit cycles of discrete dynamical systems in a period­doubling bifurcation zone. A phenomenon of a decreasing of the stochastic cycle multiplicity with a noise intensity growth is investigated. We call it by a backward stochastic bifurcation. In this paper, for such a bifurcation analysis we suggest a stochastic sensitivity function technique. The constructive possibilities of this method are demonstrated for analysis of the two­dimensional Henon model.  ́