<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The article deals with the active control of oscillation patterns in nonlinear dynamical systems and its possible use. The purpose of the research is to prove the possibility of oscillations frequency control based on a change of value of singular perturbation parameter placed into a mathematical model of a nonlinear dynamical system at the highest derivative. This parameter is in singular perturbation theory often called small parameter, as ε → 0<sup>+</sup>. Oscillation frequency change caused by a different value of the parameter is verified by modelling the system in MATLAB. </p></abstract>

The article deals with the active control of oscillation patterns in nonlinear dynamical systems and its possible use. The purpose of the research is to prove the possibility of oscillations frequency control based on a change of value of singular perturbation parameter placed into a mathematical model of a nonlinear dynamical system at the highest derivative. This parameter is in singular perturbation theory often called small parameter, as ε → 0+. Oscillation frequency change caused by a different value of the parameter is verified by modelling the system in MATLAB.

Active Control Of Oscillation Patterns In Nonlinear Dynamical Systems And Their Mathematical Modelling

Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Hajdóczyho 1, 917 01, Slovak Republic

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.

The article deals with the active control of oscillation patterns in nonlinear dynamical systems and its possible use. The purpose of the research is to prove...

Active Control Of Oscillation Patterns In Nonlinear Dynamical Systems And Their Mathematical Modelling

Published Online: Nov 25, 2014

Page range: 29 - 33

DOI: https://doi.org/10.2478/rput-2014-0004

Keywords
Nonlinear dynamical system, oscillation control, MATLAB

© by Zuzana Šutová

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

Active Control Of Oscillation Patterns In Nonlinear Dynamical Systems And Their Mathematical Modelling

Published Online: Nov 25, 2014

Page range: 29 - 33

DOI: https://doi.org/10.2478/rput-2014-0004

KeywordsNonlinear dynamical system, oscillation control, MATLAB

© by Zuzana Šutová

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

Keywords
Nonlinear dynamical system, oscillation control, MATLAB