On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise

DOI10.1016/j.camwa.2012.01.057zbMath1268.39020OpenAlexW2059027118MaRDI QIDQ356138

Elena Braverman, Aleksandra Rodkina

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.057

zbMATH Keywords

population dynamicsstochastic perturbationasymptotically stable 2-cyclestochastic difference equationsa.s. asymptotic stability

Mathematics Subject Classification ID

Stochastic analysis (60H99) Stability theory for difference equations (39A30) Stochastic difference equations (39A50)

Related Items (5)

Stabilisation of difference equations with noisy prediction-based control ⋮ Difference equations of Ricker and logistic types under bounded stochastic perturbations with positive mean ⋮ Stability of equilibria of randomly perturbed maps ⋮ On convergence of solutions to difference equations with additive perturbations ⋮ Stabilization of two cycles of difference equations with stochastic perturbations

Cites Work

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• Stability of dynamical structures under perturbation of the generating function
• Chaotic and stable perturbed maps: 2-cycles and spatial models
• Almost sure convergence of solutions to non-homogeneous stochastic difference equation

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