Attractors of randomly forced logistic model with delay: stochastic sensitivity and noise-induced transitions |
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Authors: | Irina Bashkirtseva Ekaterina Ekaterinchuk |
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Institution: | Institute of Mathematics and Computer Sciences, Ural Federal University, Ekaterinburg, Russia. |
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Abstract: | We consider the time-delayed logistic model under the influence of random perturbations. A parametric analysis of stochastically forced regular attractors (equilibria, closed invariant curves, discrete cycles) of this model is performed using the stochastic sensitivity functions technique. A spatial arrangement of random states in stochastic attractors is described by confidence domains. The phenomenon of noise-induced transitions in a zone of discrete cycles is discussed. |
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Keywords: | Random dynamical systems bifurcation theory difference equations stochastic difference equations |
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