Predominant natural red-shift of quasi-conservative nonlinear systems

Recent discoveries of nonclassical nonlinear phenomena are attracting a large interest in the scientific community, especially in material science. In spite of this, the natural frequency shift related to the appearance of such phenomena remains partially unclear. In this paper, we apply the general and only recently developed Interaction Box Formalism for investigating if a universality in the natural frequency shift of quasi-conservative nonlinear systems exists. Such universality clearly emerges as a rupture in the symmetry, usually leading to a red-shift, quantifiable as a function of the higher- and sub-harmonic generation.