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We numerically analyzed the supratransmission phenomenon in the discrete nonlinear Schrödinger equation with the cubic–quintic nonlinearity. It has been reported that the homoclinic nonlinear band-gap threshold matches very well with the model. In the case of the cooperation between the nonlinearities (self-focusing cubic and quintic terms), the train of discrete band-gap waves overcomes the potential...
In arrays of coupled oscillators, intrinsic localized modes are energy localizations, which are caused by nonlinearity and discreteness. Here, the considered array of coupled oscillators is subjected to a combination of sinusoidal excitation and noise excitation. Experimental studies with an array of coupled cantilever oscillators and numerical studies with a corresponding oscillator array model are...
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