Metamorphoses of resonance curves in systems of coupled oscillators
| Autor: | Jan Kyzioł, Andrzej Okninski |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Surface (mathematics)
Dynamical systems theory Mechanical Engineering Mathematical analysis Dynamics (mechanics) 01 natural sciences Resonance (particle physics) Intersection (Euclidean geometry) 010305 fluids & plasmas Engineering Amplitude 0103 physical sciences Control parameters 010301 acoustics Mathematics |
| Zdroj: | Journal of Theoretical and Applied Mechanics. :1197 |
| ISSN: | 1429-2955 |
| DOI: | 10.15632/jtam-pl.54.4.1197 |
| Popis: | We study dynamics of two coupled periodically driven oscillators in a general case and compare it with two simplified models. Periodic steady-state solutions to these system equations are determined within the Krylov-Bogoliubov-Mitropolsky approach. Amplitude profiles 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 the dynamics occur in the vicinity of singular points of these 3D curves. |
| Databáze: | OpenAIRE |
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