par Kuske, Rachel;Erneux, Thomas 
Référence Zeitschrift für angewandte Mathematik und Mechanik, 76, Supplément S2, page (441-444)
Publication Publié, 1996
Référence Zeitschrift für angewandte Mathematik und Mechanik, 76, Supplément S2, page (441-444)
Publication Publié, 1996
Article révisé par les pairs
| Résumé : | A singular perturbation method is applied to a non-conservative system of two weakly coupled strongly nonlinear non-identical oscillators. For certain parameters, localized solutions exist for which the amplitude of one oscillator is an order of magnitude smaller than the other. It is shown that these solutions are described by coupled equations for the phase difference and scaled amplitudes. Three types of localized solutions are obtained as solutions to these equations which correspond to phase locking, phase drift, and phase entrainment. Quantitative results for the phases and amplitudes of the oscillators and the stability of these phenomena are expressed in terms of the parameters of the model. |
