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Stability and Phase Portraits for Simple Dynamical Systems

Mária Kúdelčíková

Mária Kúdelčíková

Department of Structural Mechanics and Applied Mathematics, Faculty of Civil Engineering, University of ŽilinaŽilina, Slovakia
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Kúdelčíková, Mária
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Eva Merčiaková

Eva Merčiaková

Department of Structural Mechanics and Applied Mathematics, Faculty of Civil Engineering, University of ŽilinaŽilina, Slovakia
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Merčiaková, Eva
  
Dec 24, 2018
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Published Online: Dec 24, 2018
Page range: 153 - 158
DOI: https://doi.org/10.2478/cee-2018-0020
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© 2018 Mária Kúdelčíková et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In structural dynamics models of mechanical oscillator and vibration analysis are of great importance. In this article motion of mechanical oscillator is modelled using second order linear autonomous differential systems. Stability of such 1 DOF models is investigated with respect to the coefficients of systems. Phase portraits for various cases are displayed and the character of fixed points is described.

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