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20052025
most citedNon-exponential stability and decay rates in nonlinear stochastic difference equation with unbounded noises

38 citations · 117 across the 22 of their papers we have counts for

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math.NA2018

On cubic difference equations with variable coefficients and fading stochastic perturbations

Ricardo Baccas, Cónall Kelly, Alexandra Rodkina

We consider the stochastically perturbed cubic difference equation with variable coefficients \[ x_{n+1}=x_n(1-h_nx_n^2)+ρ_{n+1}ξ_{n+1}, \quad n\in \mathbb N,\quad x_0\in \mathbb R…

math.NA2017★ 1 cited

Adaptive timestepping for pathwise stability and positivity of strongly discretised nonlinear stochastic differential equations

Cónall Kelly, Alexandra Rodkina, Eeva Maria Rapoo

We consider the use of adaptive timestepping to allow a strong explicit Euler-Maruyama discretisation to reproduce dynamical properties of a class of nonlinear stochastic different…