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We compute the solutions of the equation u tt− Δu+ m 2 u+ gu p= 0 for p odd and m, g> 0. Our computations show that (i) the solutions remain bounded as t→∞,(ii) the amplitude decreases as p increases, and (iii) the number of oscillations increases as p increases. Because of (i), theoretical results imply that the amplitude goes to zero like O (t− 3 2) as t→∞.