Constrained stability and instability of polynomial difference equations with state-dependent noise

DOI10.3934/DCDSB.2009.11.913zbMath1185.39014OpenAlexW2028644460MaRDI QIDQ1030557

Cónall Kelly, Aleksandra Rodkina

Publication date: 2 July 2009

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2009.11.913

zbMATH Keywords

instabilitylocal stabilitystochastic difference equationsa.s. asymptotic stabilitypolynomial difference equationstate dependent perturbations

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Stability theory for difference equations (39A30) Stochastic difference equations (39A50)

Related Items (5)

Stabilisation of difference equations with noisy prediction-based control ⋮ Stochastic difference equations with the Allee effect ⋮ Stabilization of difference equations with noisy proportional feedback control ⋮ On local stability of stochastic delay nonlinear discrete systems with state-dependent noise ⋮ On convergence of solutions to difference equations with additive perturbations

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