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[31560] Artykuł: Metamorphoses of resonance curves in systems of coupled oscillatorsCzasopismo: PCM-CMM-2015 – 3rd Polish Congress of Mechanics & 21st Computer Methods in Mechanics, September 8th–11th 2015, Gdańsk, Poland Tom: 2, Strony: 501-502Opublikowano: 2015 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Recenzowany referat w materiałach konferencyjnych w języku angielskim Punkty MNiSW: 0 Pełny tekst Keywords: Coupled oscillators  amplitudę profiles  singular points  |
We study dynamics of two coupled periodically driven oscillators in a general case as well as in two simplified models. Periodic steady state
solutions of the system of these equations are determined within the Krylov-Bogoliubov-Mitropolsky approach. The amplitudę profiles, A(ω), B (ω), which are given by two implicit equations, F (A,B, ω) = 0, G(A,B, ω) = 0, where ω is frequency of the driving force, are computed. These two equations, each describing a surface, define a 3D curve - intersection of these surfaces. In the present paper we analyse metamorphoses of amplitude profiles induced by changes of control parameters in three dynamical systems studied. It is shown that changes of dynamics occur in the vicinity of singular points of these curves.