Professor in Department of technical cybernetics
Other occupations
Samara State University
Department of Differential Equations and Control Theory
Research interests
Differential Equations and Dynamical Systems
Singular Perturbations
Geometrical Methods and Integral Manifolds Theory
Slow/Fast Models in Laser and Reacting Systems
Mathematics of Combustion, Biochemistry and Chemical Kinetics
Light Interaction with Natural Media
Research and teaching activities
University courses for mathematicians and applied mathematicians and Educational program "Information security of automated systems": "Differential Equations", 'Bifurcation Theory', 'Catastrophe Theory', 'Integral Manifolds Theory.'
University courses for physicists: "Differential and Integral Equations. Calculus of variations."
University courses for Educational program "Fundamental informatics and information technologies": "Differential and Difference Equations."
Training of scientists
Ph.D Students Supervised:
Andrew Zhezherun. Geometric Methods in Analysis of Complicated Behavior in Dynamical Models with Discontinuous Nonlinearity. Yaroslavl State University. May, 2009.
Elena Golodova. Dynamics of Critical Regimes of Singularly Perturbed Models with Delayed Loss of Stability. Yaroslavl State University. December, 2009.
Publications
1. Shchepakina E., Sobolev V., Korobeinikov A. Paradox of enrichment and system order reduction: bacteriophages dynamics as case study // Mathematical Medicine and Biology. 2015. 15. P. 1-13
2. Elena A. Shchepakina Critical phenomena in a model of fuel's heating in a porous medium // InternationaConference Information Technology and Nanotechnology, ITNT 2015, , Samara, , 2015, P. 179-189
3. Elena Shchepakina, Vladimir Sobolev, Michael P. Mortell Singular Perturbations: Introduction to system order reduction methods with applications . Berlin: Springer, 2014. 212 С?.
4. Olga Korotkova, Elena Shchepakina Random sources for optical frames // Optics Express. 2014. Vol. 22, Issue 9. P. 10622-10633
5. O. Korotkova, E. Shchepakina Rectangular Multi-Gaussian Schell-model beams in atmospheric turbulence // Journal of Optics. 2014. 16. P. 045704
6. Shchepakina E., Korotkova O., Serkan Sahin Light scattering by three-dimensional objects with semi-hard boundaries // JOSA A.. 2014. - Vol.31. - ?8. P. 1782-1787
7. Zh. Mei, Schepakina E.A., Korotkova O. Propagation of Cosine-Gaussian correlated Schell-model beams in atmospheric turbulence // Optics Express. 2013. - Т.21. - ?15. P. 17512-17519
8. Korotkova O., Schepakina E.A. Tuning the spectral composition of random beams propagating in free space and in a turbulent atmosphere // J. Opt.. 2013. - Т.15. - ?7. P. Article number 07571
9. Schepakina E.A., Korotkova O. Spectral Gaussian Schell-model beams // Optics Letters. 2013. - Т. 38. -?13. P. 2233-2236
10. Zh. Mei, Korotkova O., Schepakina E.A. Electromagnetic Multi-Gaussian Schell-Model Beams // Journal of Optics. 2013. - Т.15. - ?2. P. Article number 0257
11. Schepakina E.A., Sazhin S., Korotkova O. Multi-Gaussian Schell-model beams // JOSA A. 2012. 29. P. 2159-2164
12. Shchepakina E., Korotkova, O, Farwell N. Light scintillation in oceanic turbulence // Waves in Random and Complex Media . 2012. - Т.22. - ?2.. P. 260 - 266
13. Schepakina E.A., Farwell N., Korotkova O. Spectral changes in stochastic light beams propagating in turbulent ocean // Applied Physics B.. 2011. 2011. Vol. 105. Issu. P. 415-420
14. Schepakina E.A., Korotkova O. Condition for canard explosion in a semi-conductor optical amplifier // JOSA B.. 2011. 2011,Vol. 28. Issue. P. 1988-1993
15. Schepakina E.A., Korotkova O. Control of the canard explosion in a semiconductor optical amplifier // Международная конференция Дифференциальные урав-нения и смежные вопросы , посвященная 110-й годовщине со дня рождения И.Г. Петровского, Сборник тезисов., 30 мая-4 июня 2011 г., г. Москва, , 2011, P. 108-109
16. Shchepakina E., Rachinskii D. In Memory of Alexei Pokrovskii: Systems with Hysteresis & Murphys, 10 Years Later // Journal of Physics Conference Series. 2010. v. 268. P. 1-6
17. Sobolev V.A., Sazhin S.S., Shchepakina E.A. Order reduction of a non-Lipschitzian model of monodisperse spray ignition // Mathematical and Computer Modelling. 2010. 2010, vol. 52, issue 3-4. P. 529-537
18. Korotkova O., Schepakina E.A. Color changes in sto-chastic light fields propaga-ting in non-Kolmogorov turbu-lence // Optics Letters. 2010. Vol. 35, Issue 22. P. 3772-3774
19. Korotkova O., Schepakina E.A. Second-order statistics of stochastic electromagnetic beams propagating through non-Kolmogorov turbulence // Optics Express. 2010. Vol. 18, Issue 10. P. 10650-10658
