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Stochastic sensitivity analysis of the attractors for the randomly forced Ricker model with delay
Authors:Irina Bashkirtseva  Lev Ryashko
Affiliation:Ural Federal University, Pr. Lenina 51, Ekaterinburg, 620083, Russia
Abstract:Stochastically forced regular attractors (equilibria, cycles, closed invariant curves) of the discrete-time nonlinear systems are studied. For the analysis of noisy attractors, a unified approach based on the stochastic sensitivity function technique is suggested and discussed. Potentialities of the elaborated theory are demonstrated in the parametric analysis of the stochastic Ricker model with delay nearby Neimark–Sacker bifurcation.
Keywords:Stochastic attractors   Closed invariant curves   Stochastic sensitivity   Ricker model with delay
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