Stochastic sensitivity analysis of the attractors for the randomly forced Ricker model with delay |
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Authors: | Irina Bashkirtseva Lev Ryashko |
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Affiliation: | Ural Federal University, Pr. Lenina 51, Ekaterinburg, 620083, Russia |
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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. |
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Keywords: | Stochastic attractors Closed invariant curves Stochastic sensitivity Ricker model with delay |
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