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[98160] Artykuł: Effective equation for two coupled oscillators: Towards a global view of metamorphoses of the amplitude profilesCzasopismo: International Journal of Non-Linear Mechanics Tom: 123, Strony: 1-7ISSN: 0020-7462 Opublikowano: Kwiecień 2020 Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 100 Pełny tekst DOI |
Dynamics of nonlinear coupled driven oscillators is investigated. Recently, we have demonstrated that the amplitude profiles – dependence of the amplitude 𝐴 on frequency 𝛺 of the driving force, computed by asymptotic methods in implicit form as 𝐹 (𝐴,𝛺) = 0, permit prediction of metamorphoses of dynamics which occur at singular points of the implicit curve 𝐹 (𝐴,𝛺) = 0. In the present study we strive at a global view of singular points of the amplitude profiles computing bifurcation sets, i.e. sets containing all points in the parameter space for which the amplitude profile has a singular point.