title: Constructive analysis of noise-induced transitions for coexisting periodic attractors of the Lorenz model.
abstract: We study the stochastically forced Lorenz model in the parameter zone admitting two coexisting limit cycles under the transition to chaos via period-doubling bifurcations. Noise-induced transitions between both different parts of the single attractor and two coexisting separate attractors are demonstrated. The effects of structural stabilization and noise symmetrization are discussed. We suggest a stochastic sensitivity function technique for the analysis of noise-induced transitions between two coexisting limit cycles. This approach allows us to construct the dispersion ellipses of random trajectories for any Poincare sections. Possibilities of our descriptive-geometric method for a detailed analysis of noise-induced transitions between two periodic attractors of Lorenz model are demonstrated.
authors.affiliation: Ural State University, Pr. Lenina 51, Ekaterinburg 620083, Russia.
authors.forename: Irina
authors.initials: I
authors.lastname: Bashkirtseva
authors.forename: Lev
authors.initials: L
authors.lastname: Ryashko