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…