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 possibility of oscillation frequency control based on a change in the value of a singular perturbation parameter placed into a mathematical model...

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Bibliographic Details
Published in:Vedecké práce Materiálovotechnologickej fakulty Slovenskej technickej univerzity v Bratislave so sídlom v Trnave 2014-12, Vol.22 (35), p.57-62
Main Authors: Sutova, Zuzana, Vrabel, Robert, Juhasova, Bohuslava, Juhas, Martin
Format: Article
Language:English
Subjects:
Derivatives
Differential equations
Dynamical systems
Mathematical models
Nonlinearity
oscillation control
Oscillations
second-order differential equation
Singular perturbation
singular perturbation theory
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Summary: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.
ISSN:1338-0532
1336-1589
1338-0532
DOI:10.2478/rput-2014-0035