Note on the Sensitivity of Simulated Solutions of the Nonlinear Singularly Perturbed Dynamical System on the Used Different Rewriting into a System of First Order Differential Equations

Vladimír Liška; Zuzana Šútova; Dušan Pavliak

doi:10.1515/rput-2016-0016

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Note on the Sensitivity of Simulated Solutions of the Nonlinear Singularly Perturbed Dynamical System on the Used Different Rewriting into a System of First Order Differential Equations

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

Volume 24 (2016): Issue 39 (December 2016)

By: Vladimír Liška, Zuzana Šútova and Dušan Pavliak

Open Access

|Apr 2017

Abstract

In this paper we analyze the sensitivity of solutions to a nonlinear singularly perturbed dynamical system based on different rewriting into a System of the First Order Differential Equations to a numerical scheme. Numerical simulations of the solutions use numerical methods implemented in MATLAB.

References

1. VRÁBEĽ, R., ABAS, M., KOPČEK, M., KEBÍSEK, M., 2013. Active Control of Oscillation Patterns in the Presence of Multiarmed Pitchfork Structure of the Critical Manifold of Singularly Perturbed System. Mathematical Problems in Engineering, pp. 1-8. http://dx.doi.org/10.1155/2013/65035410.1155/2013/650354
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2. VRÁBEĽ, R., LIŠKA, V., ŠÚTOVA, Z., 2015. Numerical simulation of high sensitivity of solutions to the nonlinear singularly perturbed dynamical system on the initial conditions and parameter. International Journal of Mathematical Analysis, 9(43), pp. 2099-2109. http://dx.doi.org/10.12988/ijma.2015.5617110.12988/ijma.2015.56171
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3. VRÁBEĽ, R., LIŠKA, V., VÁCLAV, J., 2015. Remark on sensitivity of simulated solutions of the nonlinear dynamical system to the used numerical method. International Journal of Mathematical Analysis, 9(43), pp. 2749-2754. http://dx.doi.org/10.12988/ijma.2015.5923610.12988/ijma.2015.59236
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4. HOUCQUE, D. Applications of MATLAB: Ordinary differential equations https://www.researchgate.net/file.PostFileLoader.html?id=56c0a8277dfbf9b7468b4569&assetKey=AS:329064654098432@1455466535564
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Articles in this issue

DOI: https://doi.org/10.1515/rput-2016-0016 | Journal eISSN: 1338-0532 | Journal ISSN: 1336-1589

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Language: English

Page range: 51 - 55

Published online: Apr 4, 2017

Published in print: Dec 1, 2016

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

singular perturbation,

numerical simulation

Related subjects:

Engineering,

Introductions and overviews,

Engineering, other

© 2017 Vladimír Liška, Zuzana Šútova, Dušan Pavliak, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 24 (2016): Issue 39 (December 2016)