A weakly nonlinear spectrum and a strongly nonlinear spectrum coexist in astatistically steady state of elastic wave turbulence. The analyticalrepresentation of the nonlinear frequency is obtained by evaluating theextended self-nonlinear interactions. The {\em critical\/} wavenumbers at whichthe nonlinear frequencies are comparable with the linear frequencies agree withthe {\em separation\/} wavenumbers between the weak and strong turbulencespectra. We also confirm the validity of our analytical representation of theseparation wavenumbers through comparison with the results of direct numericalsimulations by changing the material parameters of a vibrating plate.
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