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Mathematical Problems in Engineering
Volume 2013, Article ID 650354, 8 pages
http://dx.doi.org/10.1155/2013/650354
Research Article

Active Control of Oscillation Patterns in the Presence of Multiarmed Pitchfork Structure of the Critical Manifold of Singularly Perturbed System

Faculty of Materials Science and Technology, Slovak University of Technology in Bratislava, Hajdoczyho 1, 917 01 Trnava, Slovakia

Received 2 September 2013; Revised 22 September 2013; Accepted 23 September 2013

Academic Editor: Hamid Reza Karimi

Copyright © 2013 Robert Vrabel et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Zuzana Sutova, and Robert Vrabel, “Numerical Investigation of Initial Condition and Singular Perturbation Parameter Value Influence on the Dynamical System Oscillatory Behaviour,” 2016 International Conference on Intelligent Networking and Collaborative Systems (INCoS), pp. 415–419, . View at Publisher · View at Google Scholar
  • Robert Vrabel, Vladimir Liska, and Zuzana Sutova, “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, vol. 9, no. 41-44, pp. 2099–2109, 2015. View at Publisher · View at Google Scholar
  • Robert Vrabel, Vladimir Liska, and Juraj Vaclav, “Remark on the sensitivity of simulated solutions of the nonlinear dynamical system to the used numerical method,” International Journal of Mathematical Analysis, vol. 9, no. 53-56, pp. 2749–2754, 2015. View at Publisher · View at Google Scholar
  • Vladimír Liška, Zuzana Šútova, and Dušan Pavliak, “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, vol. 24, no. 39, 2016. View at Publisher · View at Google Scholar
  • Zuzana Sutova, Peter Cuninka, Robert Vrabel, and Vladimir Liska, “Influence of selected parameters on oscillatory behaviour of dynamical system,” International Journal of Mathematical Analysis, vol. 10, no. 25-28, pp. 305–1312, 2016. View at Publisher · View at Google Scholar