Creation and annihilation of intrinsic localized excitations in a nonintegrable discrete one-dimensional nonlinear Schr\"odinger system is studied numerically. We demonstrate that the distribution $p(x)$ of the amplitudes x of the created excitations has the form p(x)=x^αexp(βx^γ). The log-normal form γ=2 has previously been found in non-Hamiltonian continuous systems.
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Rasmussen et al. (1998) studied this question.
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