<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Control of Oscillations in Second-Order Differential Equation

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

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Control of Oscillations in Second-Order Differential Equation"}

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...

Control of Oscillations in Second-Order Differential Equation

Published Online: Feb 06, 2015

Page range: 57 - 62

DOI: https://doi.org/10.2478/rput-2014-0035

Keywords
oscillation control, second-order differential equation, singular perturbation theory

© by Zuzana Šutová

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Control of Oscillations in Second-Order Differential Equation

Published Online: Feb 06, 2015

Page range: 57 - 62

DOI: https://doi.org/10.2478/rput-2014-0035

Keywordsoscillation control, second-order differential equation, singular perturbation theory

© by Zuzana Šutová

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
oscillation control, second-order differential equation, singular perturbation theory