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We establish results on asymptotic stability and instability of the trivial solution x_n=0. We also show, that for some natural choices of the nonlinearities f and g, the rate of decay of x_n is approximately polynomial: we find \\alpha>0 such that x_n decay faster than n^{-\\alpha+\\epsilon} but slower than n^{-\\alpha-\\epsilon} for any \\epsilon>0. 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