Name and surname:
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prof. RNDr. Michal Fečkan, DrSc.
|
Document type:
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Research/art/teacher profile of a person
|
The name of the university:
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Comenius University Bratislava
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The seat of the university:
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Šafárikovo námestie 6, 818 06 Bratislava
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III.a - Occupation-position | III.b - Institution | III.c - Duration |
---|---|---|
full professor | Department of Mathematical Analysis and Numerical Mathematics FMFI UK Bratislava | 1995- |
scientific researcher | Mathematical Institute of the Slovak Academy of Sciences | 1985- |
V.1.a - Name of the profile course | V.1.b - Study programme | V.1.c - Degree | V.1.d - Field of study |
---|---|---|---|
Functional analysis 1 | Mathematical Analysis | I. | Mathematics |
Functional analysis 2 | Mathematical Analysis | 1 | Mathematics |
Nonlinear functional analysis | Mathematical Analysis | 2 | Mathematics |
Nonlinear functional analysis | Mathematical Analysis | 3 | Mathematics |
Variational methods of solutions of partial differential equations | Numerical Analysis and Scientific Calculations | 3 | Mathematics |
V.2.a - Name of the study programme | V.2.b - Degree | V.2.c - Field of study |
---|---|---|
Managerial Mathematics | 2 | Mathematics |
Michal Fečkan: Topological degree approach to bifurcation problems, Berlin. Springer, 2008.
Michal Fečkan: Bifurcation and chaos in discontinuous and continuous systems, Beijing; Berlin, Higher Education Press, Springer, 2011.
Michal Fečkan, Michal Pospíšil: Poincaré-Andronov-Melnikov analysis for non-smooth systems, London, Elsevier Academic Press, 2016
Michal Fečkan, JinRong Wang, Michal Pospíšil: Fractional-Order Equations and Inclusions, Berlin, De Gruyter, 2017.
Pawel Olejnik, Jan Awrejcewicz, Michal Fečkan: Modeling, Analysis and Control of Dynamical Systems: With Friction and Impacts, Singapur : World Scientific Publishing, 2018.
Flaviano Battelli, Michal Fečkan: General Melnikov approach to implicit ODE’s, Journal of Dynamics and Differential Equations 34 (2022), 365-397.
Marius F. Danca, Michal Fečkan, N.V, Kuznetsov: Rich dynamics and anticontrol of extinction in a prey-predator system, Nonlinear Dynamics 98 (2019), 1421-1445.
Flaviano Battelli, Michal Fečkan, JinRong Wang: Heteroclinic solutions in singularly perturbed discontinuous differential equations, Journal of Differential Equations 400 (2024), 314-375.
Marius F. Danca, Michal Fečkan: Hidden chaotic attractors and chaos suppression in an impulsive discrete economical supply and demand dynamical system, Communications in Nonlinear Science and Numerical Simulation 74 (2019), 1-13.
Flaviano Battelli, Michal Fečkan: On the Poincaré-Adronov-Melnikov method for the existence of grazing impact periodic solutions of differential equations, Journal of Differential Equations 268 (2020), 3725-3748.
Michal Fečkan, Yong Zhou, JinRong Wang: On the concept and existence of solution for impulsive fractional differential equations Communications in Nonlinear Science and Numerical Simulation 17 (2012), 3050-3060, 288 citations
JinRong Wang, Michal Fečkan, Yong Zhou: On the new concept of solutions and existence results for impulsive fractional evolution equations, Dynamics of Partial Differential Equations 8 (2011), 345-361, 187 citations
JinRong Wang, Michal Fečkan, Jin Zhou: Ulam's type stability of impulsive ordinary differential equations, Journal of Mathematical Analysis and Applications 395 (2012), s. 258-264, 184 citations
Flaviano Battelli, Michal Fečkan: Nonsmooth homoclinic orbits, Melnikov functions and chaos in discontinuous systems, Physica D - Nonlinear Phenomena 241 (2012), 1962-1975, 61 citations
Flaviano Battelli, Michal Fečkan: Bifurcation and chaos near sliding homoclinics, Journal of Differential Equations 248 (2010), 2227-2262, 47 citations
APVV-18-0308 Nelineárne javy v dynamických systémoch z prírodných a technických vied (zodpovedný riešiteľ prof. RNDr. Marek Fila, DrSc.) 2019-2023 / Nonlinear phenomena in dynamical systems from science and technology (principal investigator prof. RNDr. Marek Fila, DrSc.) 2019-2023
APVV-14-0378 Nelineárne javy v evolučných rovniciach z prírodných a technických vied (zodpovedný riešiteľ prof. RNDr. Marek Fila, DrSc.) 2014-2019 / Nonlinear phenomena in evolution equations from science and (principal investigator prof. RNDr. Marek Fila, DrSc.) 2014-2019
Slovak Grant Agency VEGA-SAV, project No. 2/0127/20 (principal investigator prof. RNDr. Michal Fečkan, DrSc.)
Slovak Grant Agency VEGA-MŠ, project No. 1/0084/23 (principal investigator RNDr. Michal Pospíšil, PhD.)
Špičkový tým (principal investigator prof. RNDr. Marek Fila, DrSc.)
VII.a - Activity, position | VII.b - Name of the institution, board | VII.c - Duration |
---|---|---|
Commission President for rigorous examinations of Mathematical analysis | FMFI UK Bratislava | 2010 |
Chairman of the Slovak Commission for scientific degrees for defense of doctoral dissertations in Geometry and topology, and mathematical analysis | The Ministry of Education, Science, Research and Sport of the Slovak Republic | 2021 |
Memmber of commission for doctoral study Mathematical Analysis | FMFI UK Bratislava | 2009 |
Member of commission for doctoral study Mathematical analysis | UMB Banská Bystrica | 2009 |
VIII.a - Name of the institution | VIII.b - Address of the institution | VIII.c - Duration (indicate the duration of stay) | VIII.d - Mobility scheme, employment contract, other (describe) |
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School of Mathematics and Center for Dynamical Systems and Nonlinear Studies | Georgia Institute of Technology, Atlanta, USA | 20.4.-22.6. 1992 | study stay |
Department of Mathematics | University of Athens, Ohio, USA | 23. 3 - 14. 6. 2004 | visiting professor |