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[31560] Artykuł:

Metamorphoses of resonance curves in systems of coupled oscillators

Czasopismo: PCM-CMM-2015 – 3rd Polish Congress of Mechanics & 21st Computer Methods in Mechanics, September 8th–11th 2015, Gdańsk, Poland   Tom: 2, Strony: 501-502
Opublikowano: 2015
 
  Autorzy / Redaktorzy / Twórcy
Imię i nazwisko Wydział Katedra Procent
udziału
Liczba
punktów
Jan Kyzioł orcid logoWMiBMKatedra Mechaniki**50.00  
Andrzej Okniński orcid logoWZiMKKatedra Matematyki i Fizyki*50.00  

Grupa MNiSW:  Recenzowany referat w materiałach konferencyjnych w języku angielskim
Punkty MNiSW: 0


Pełny tekstPełny tekst    
Keywords:

Coupled oscillators  amplitudę profiles  singular points 



Abstract:

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.