Control of Oscillations in Second-Order Differential Equation

Šutová Zuzana (), Vrábeľ Róbert (), Juhásová Bohuslava () and Juhás Martin ()
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Šutová Zuzana: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Institute of Applied Informatics, Automation and Mathematics, Hajdóczyho 1, 917 01 Trnava, Slovakia
Vrábeľ Róbert: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Institute of Applied Informatics, Automation and Mathematics, Hajdóczyho 1, 917 01 Trnava, Slovakia
Juhásová Bohuslava: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Institute of Applied Informatics, Automation and Mathematics, Hajdóczyho 1, 917 01 Trnava, Slovakia
Juhás Martin: Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Institute of Applied Informatics, Automation and Mathematics, Hajdóczyho 1, 917 01 Trnava, Slovakia

Research Papers Faculty of Materials Science and Technology Slovak University of Technology, 2014, vol. 22, issue 35, 57-62

Abstract: The article deals with the control of oscillations in a specific type of second-order differential equations. The purpose of the research is to prove the possibility of oscillation frequency control based on a change in the value of a singular perturbation parameter placed into a mathematical model of a nonlinear dynamical system at the highest derivative. The oscillation frequency change caused by a different value of the parameter is verified by numerically modelling the system.

Keywords: oscillation control; second-order differential equation; singular perturbation theory (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:repfms:v:22:y:2014:i:35:p:57-62:n:7

DOI: 10.2478/rput-2014-0035

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