федеральное государственное автономное образовательное учреждение высшего образования
«Самарский национальный исследовательский университет имени академика С.П. Королева»

Shchepakina, Elena A.

  • Department of Differential Equations and Control Theory, professor
2021
  • 1 Shchepakina E., Tropkina E. Order reduction for problems with traveling wave solutions to reaction-diffusion systems // Journal of Physics: Conference Series. — 2021. — Vol. 1745. Issue 1.
  • 2 Shchepakina E. Order reduction for critical traveling wave problems // Journal of Physics: Conference Series. — 2021. — Vol. 1745. Issue 1.
2008
  • 1 Shchepakina E., Sobolev V. Modelling of critical phenomena for ignition of metal particles // Journal of Physics: Conference Series 2008. — Vol. 138.
  • 2 Pokrovskii A., Shchepakina E., Sobolev V. Canard doublet in a Lotka-Volterra type model // Journal of Physics: Conference Series 2008. — Vol. 138.
1996
  • 1 Sobolev V.A., Shchepakina E.A. Duck trajectories in a problem of combustion theory // Differential Equations 1996. — Vol. 32. Issue 9. — P. 1177-1186
  • 2 Gol'dshtein V., Zlnoviev A., Sobolev V. etc. Criterion for thermal explosion with reactant consumption in a dusty gas // Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 1996. — Vol. 452. Issue 1952. — P. 2103-2119
1997
  • 1 Shchepakina E., Andreev I.A., Sobolev V. Modeling of Critical Phenomena in Autocatalytic Burning Problems // 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics. — 1997. — P. 317-322
1998
  • 1 Shchepakina E. Duck-trajectories in Combustion Problems // International Congress of Mathematicians (ICM-1998). — 1998. — P. 332-332
2000
  • 1 Shchepakina E., Sobolev V. Attracting/Repelling Invariant Manifolds // Stability and Control: Theory and Applications 2000. — № V. 3, Iss. 3. — P. 263-274
2001
  • 1 Shchepakina E.A. Critical conditions of self-ignition in porous medium // Khimicheskaya Fizika 2001. — Vol. 20. Issue 7. — P. 3-10
  • 2 Shchepakina E., Sobolev V. Integral manifolds, canards and black swans // Nonlinear Analysis, Theory, Methods and Applications 2001. — Vol. 44. Issue 7. — P. 897-908
2002
  • 1 Shchepakina E.A. Slow integral manifolds with stability change in the case of a fast vector variable // Differential Equations 2002. — Vol. 38. Issue 10. — P. 1446-1452
2003
  • 1 Shchepakina E. Black swans and canards in self-ignition problem // Nonlinear Analysis: Real World Applications 2003. — Vol. 4. Issue 1. — P. 45-50
  • 2 Schneider K.R., Shchepakina E.A., Sobolev V.A. New type of travelling wave solutions // MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2003. — Vol. 26. Issue 16. — P. 1349-1361
2004
  • 1 Shchepakina E.A. Two forms of stability change for integral manifolds // Differential Equations 2004. — Vol. 40. Issue 5. — P. 766-769
2005
  • 1 Sobolev V.A., Schneider K., Shchepakina E.A. Three kinds of waves of non-adiabatic combustion in case of autocatalytic reaction // Khimicheskaya Fizika 2005. — Vol. 24. Issue 6. — P. 63-70
  • 2 Shchepakina E., Sobolev V. Black swans and canards in laser and combustion models. In: Singular Perturbations and HysteresisPhiladelphia: SIAM, 2005. 55p.
  • 3 Shchepakina E. Canards and black swans in a model of a 3-D autocatalator // Journal of Physics: Conference Series 2005. — Vol. 22. Issue 1. — P. 194-207
2006
  • 1 Golodova E., Shchepakina E. Maximal combustion temperature estimation // Journal of Physics: Conference Series. — 2006. — Vol. 55. Issue 1. — P. 94-104
  • 2 Gorelov G.N., Shchepakina E.A., Sobolev V.A. Canards and critical behavior in autocatalytic combustion models // JOURNAL OF ENGINEERING MATHEMATICS 2006. — Vol. 56. Issue 2. — P. 143-160
2009
  • 1 Golodova E.S., Shchepakina E.A. Modeling of safe combustion at the maximum temperature // Mathematical Models and Computer Simulations 2009. — Vol. 1. Issue 2. — P. 322-334
2020
  • 1 Shchepakina E. Canard Traveling Waves in a Reaction-Diffusion Model // Proceedings of ITNT 2020 - 6th IEEE International Conference on Information Technology and Nanotechnology. — 2020. —
  • 2 Shchepakina E. Critical Traveling Waves in a Flow Reactor Model // Proceedings of ITNT 2020 - 6th IEEE International Conference on Information Technology and Nanotechnology. — 2020. —
  • 3 Korobeinikov A., Shchepakina E., Sobolev V. Black swan and canard cascades in an SIR infectious disease model // Mathematical biosciences and engineering : MBE 2020. — Vol. 17. Issue 1. — P. 725-736
  • 4 Korobeinikov A., Shchepakina E., Sobolev V. The Paradox of Enrichment, Spatial Heterogeneity, Community Effects and the Phenomenon of Apparent Disappearance in the Marine Bacteriophage Dynamics // ANZIAM journal 2020. —
2010
  • 1 Sazhin S.S., Shchepakina E., Sobolev V. Order reduction of a non-Lipschitzian model of monodisperse spray ignition // Mathematical and Computer Modelling 2010. — Vol. 52. Issue 3-4. — P. 529-537
  • 2 Korotkova O., Shchepakina E. Color changes in stochastic light fields propagating in non-Kolmogorov turbulence // Optics Letters 2010. — Vol. 35. Issue 22. — P. 3772-3774
  • 3 Shchepakina E., Korotkova O. Second-order statistics of stochastic electromagnetic beams propagating through non-Kolmogorov turbulence // Optics Express 2010. — Vol. 18. Issue 10. — P. 10650-10658
  • 4 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
  • 5 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
  • 6 Shchepakina E., Korotkova O. Second-order statistics of stochastic electromagnetic beams propagating through non-Kolmogorov turbulence // Optics Express 2010. — Vol. 18. Issue 10. — P. 10650-10658
2011
  • 1 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.. — 2011. — P. 108-109
  • 2 Shchepakina E., Korotkova O. Condition for canard explosion in a semiconductor optical amplifier // Journal of the Optical Society of America B: Optical Physics 2011. — Vol. 28. Issue 8. — P. 1988-1993
  • 3 Shchepakina E., Farwell N., Korotkova O. Spectral changes in stochastic light beams propagating in turbulent ocean // Applied Physics B: Lasers and Optics 2011. — Vol. 105. Issue 2. — P. 415-420
2012
  • 1 Korotkova O., Sahin S., Shchepakina E. Multi-Gaussian Schell-model beams // Journal of the Optical Society of America A: Optics and Image Science, and Vision 2012. — Vol. 29. Issue 10. — P. 2159-2164
  • 2 Korotkova O., Farwell N., Shchepakina E. Light scintillation in oceanic turbulence // Waves in Random and Complex Media 2012. — Vol. 22. Issue 2. — P. 260-266
2013
  • 1 Shchepakina E., Korotkova O. Canard explosion in chemical and optical systems // Discrete and Continuous Dynamical Systems - Series B 2013. — Vol. 18. Issue 2. — P. 495-512
  • 2 Korotkova O., Shchepakina E. Tuning the spectral composition of random beams propagating in free space and in a turbulent atmosphere // Journal of Optics (United Kingdom) 2013. — Vol. 15. Issue 7.
  • 3 Mei Z., Korotkova O., Shchepakina E. Electromagnetic multi-Gaussian Schell-model beams // Journal of Optics (United Kingdom) 2013. — Vol. 15. Issue 2.
  • 4 Korotkova O., Shchepakina E. Manipulation of spectral composition of a random beam in turbulent atmosphere // Optics InfoBase Conference Papers. — 2013. —
  • 5 Shchepakina E., Korotkova O. Spectral Gaussian Schell-model beams // Optics Letters 2013. — Vol. 38. Issue 13. — P. 2233-2236
2014
  • 1 Shchepakina E., Sobolev V., Mortell M.P. Canards and black swans // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 141-182
  • 2 Shchepakina E. Representations of slow integral manifolds // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 81-92
  • 3 Korotkova O., Sahin S., Shchepakina E. Light scattering by three-dimensional objects with semi-hard boundaries // Journal of the Optical Society of America A: Optics and Image Science, and Vision 2014. — Vol. 31. Issue 8. — P. 1782-1787
  • 4 Shchepakina, Elena, Sobolev, Vladimir, Mortell Michael P. Proofs // SINGULAR PERTURBATIONS: INTRODUCTION TO SYSTEM ORDER REDUCTION METHODS WITH APPLICATIONS 2014. — Vol. 2114. — P. 183-198
  • 5 Korotkova O., Shchepakina E. Random sources for optical frames // Optics Express 2014. — Vol. 22. Issue 9. — P. 10622-10633
  • 6 Korotkova O., Shchepakina E. Rectangular multi-gaussian schell-model beams in atmospheric turbulence // Journal of Optics (United Kingdom) 2014. — Vol. 16. Issue 4.
  • 7 Shchepakina E., Sobolev V., Mortell M.P. Representations of slow integral manifolds // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 81-92
  • 8 Shchepakina E., Sobolev V., Mortell M.P. The book of numbers // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 43-80
  • 9 Shchepakina E., Sobolev V., Mortell M.P. Singular Singularly Perturbed Systems // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 93-110
  • 10 Mortell Michael P., Shchepakina, Elena, Sobolev, Vladimir Singular Perturbations Introduction to System Order Reduction Methods with Applications Preface // SINGULAR PERTURBATIONS: INTRODUCTION TO SYSTEM ORDER REDUCTION METHODS WITH APPLICATIONS 2014. — Vol. 2114. — P. IX-+
  • 11 Shchepakina E., Sobolev V., Mortell M.P. Reduction methods for chemical systems // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 111-117
  • 12 Shchepakina E., Sobolev V., Mortell M.P. Canards and black swans // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 141-182
  • 13 Shchepakina E., Sobolev V., Mortell M.P. Slow integral manifolds // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 25-42
  • 14 Shchepakina E., Sobolev V., Mortell M.P. Specific cases // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 119-139
  • 15 Shchepakina E., Sobolev V., Mortell M.P. Appendix: Proofs // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 183-198
  • 16 Olga Korotkova, Elena Shchepakina Random sources for optical frames // Optics Express 2014. — № Vol. 22, Issue 9. — P. 10622-10633
  • 17 Shchepakina E., Sobolev V., Mortell M.P. Reduction methods for chemical systems // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 111-117
  • 18 Shchepakina E., Sobolev V., Mortell M.P. Singular singularly perturbed systems // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 93-110
  • 19 Shchepakina E., Sobolev V., Mortell M.P. Appendix: Proofs // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 183-198
  • 20 Shchepakina E., Sobolev V., Mortell M.P. Introduction // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 1-23
  • 21 Shchepakina E., Sobolev V., Mortell M.P. The book of numbers // Lecture Notes in Mathematics 2014. — Vol. 2114. — P. 43-80
2015
  • 1 Shchepakina E.A. Critical phenomena in a model of fuel's heating in a porous medium // CEUR Workshop Proceedings. — 2015. — Vol. 1490. — P. 179-189
2016
  • 1 Lapshova M.A., Shchepakina E.A. Study of the dynamical model of HIV // CEUR Workshop Proceedings. — 2016. — Vol. 1638. — P. 600-609
  • 2 Firstova N., Shchepakina E. Study of oscillatory processes in the one model of electrochemical reactor // CEUR Workshop Proceedings. — 2016. — Vol. 1638. — P. 731-741
  • 3 Agataeva A.Zh., Shchepakina E.A. Critical conditions of ignition of fuel spray containing liquid fuel droplets // CEUR Workshop Proceedings. — 2016. — Vol. 1638. — P. 484-492
  • 4 Shchepakina E., Sobolev V. Invariant surfaces of variable stability // Journal of Physics: Conference Series. — 2016. — Vol. 727. Issue 1.
  • 5 Soifer V.A., Korotkova O., Khonina S.N. etc. Vortex beams in turbulent media: Review // Computer Optics 2016. — Vol. 40. Issue 5. — P. 605-624
  • 6 Korobeinikov A., Shchepakina E., Sobolev V. Paradox of enrichment and system order reduction: Bacteriophages dynamics as case study // Mathematical Medicine and Biology 2016. — Vol. 33. Issue 3. — P. 359-369
  • 7 Shchepakina E.A. Three scenarios for changing of stability in the dynamic model of nerve conduction // CEUR Workshop Proceedings. — 2016. — Vol. 1638. — P. 664-673
2017
  • 1 Vidilina O., Shchepakina E. Calculation of critical conditions for the filtration combustion model // CEUR Workshop Proceedings. — 2017. — Vol. 1904. — P. 151-157
  • 2 Shchepakina E. Calculation of Maximum Safe Temperature of Fuel's Heating in a Porous Medium // Procedia Engineering. — 2017. — Vol. 201. — P. 468-477
  • 3 Tropkina E., Shchepakina E. Study of a singularly perturbed tuberculosis model // CEUR Workshop Proceedings. — 2017. — Vol. 1904. — P. 117-123
  • 4 Firstova N., Shchepakina E. Conditions for the critical phenomena in a dynamic model of an electrocatalytic reaction // Journal of Physics: Conference Series. — 2017. — Vol. 811. Issue 1.
  • 5 Sazhin S.S., Shchepakina E., Sobolev V. Positively invariant manifolds: Concept and applications // Journal of Physics: Conference Series. — 2017. — Vol. 811. Issue 1.
  • 6 Shchepakina E. Stable/unstable slow integral manifolds in critical cases // Journal of Physics: Conference Series. — 2017. — Vol. 811. Issue 1.
  • 7 Firstova N., Shchepakina E. Modelling of Critical Conditions for an Electrochemical Reactor Model // Procedia Engineering. — 2017. — Vol. 201. — P. 495-502
  • 8 Shchepakina E., Sobolev V. Conditions for the loss of stability of eqiulibrium manifold in satellite model // CEUR Workshop Proceedings. — 2017. — Vol. 1904. — P. 49-51
2018
  • 1 Shchepakina E., Firstova N. Critical phenomena in a dynamic model of electrocatalytic reaction // Trends in Mathematics 2018. — Vol. 10. — P. 77-81
  • 2 Sobolev V., Shchepakina E. Cheap control problem for micro drone quadcopter // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
  • 3 Shchepakina E. Self-Ignition in Porous Media: Critical Phenomena // IOP Conference Series: Materials Science and Engineering. — 2018. — Vol. 302. Issue 1.
  • 4 Sazhin S.S., Shchepakina E., Sobolev V. Order reduction in models of spray ignition and combustion // Combustion and Flame 2018. — Vol. 187. — P. 122-128
  • 5 Sazhin S.S., Shchepakina E., Sobolev V. Modelling of sprays: Recent results and future challenges // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
  • 6 Shchepakina E. Delayed stability loss scenarios for a slow integral manifold // Trends in Mathematics 2018. — Vol. 10. — P. 71-75
  • 7 Shchepakina E. A geometric approach to the modelling of critical phenomena for a spray combustion model // MATEC Web of Conferences. — 2018. — Vol. 209.
  • 8 Shchepakina E., Sobolev V. Cascade of 3D canard doublets // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
  • 9 Agataeva A.Z., Shchepakina E.A. Analysis of the threshold phenomena in a dynamic model of a fuel spray ignition // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
2019
  • 1 Shchepakina E. Repulsive Invariant Manifolds in Modeling the Critical Phenomena // Trends in Mathematics 2019. — Vol. 11. — P. 113-117
  • 2 Shchepakina E. Black swans and canards in two predator – One prey model // MATHEMATICAL MODELLING OF NATURAL PHENOMENA 2019. — Vol. 14. Issue 4.
  • 3 Sazhin S., Shchepakina E., Sobolev V. Modelling of sprays: Simple solutions of complex problems // Journal of Physics: Conference Series. — 2019. — Vol. 1368. Issue 4.
  • 4 Matveev S.S., Idrisov D.V., Gurakov N. I. etc. Simulation of CO and CO2 emissions in model combustion chamber based on the combination les and Reactor Network model // E3S Web of Conferences. — 2019. — Vol. 80.
  • 5 Sazhin S.S., Shchepakina E., Sobolev V. Parameterisations of slow invariant manifolds: application to a spray ignition and combustion model // JOURNAL OF ENGINEERING MATHEMATICS 2019. — Vol. 114. Issue 1.
  • 6 Shchepakina E. A New Approach to Canards Chase in 3D // Trends in Mathematics 2019. — Vol. 11. — P. 119-123
  • 7 Firstova N., Shchepakina E. Critical Phenomena in a Dynamical System Under Random Perturbations // Trends in Mathematics 2019. — Vol. 11. — P. 259-263
  • 8 Shchepakina E. Modelling of oscillations in slow/fast models of population dynamics // Journal of Physics: Conference Series. — 2019. — Vol. 1368. Issue 4.
  • 9 Shchepakina E., Sobolev V., Zhang L. Critical travelling wave solution in one singularly perturbed parabolic equation // Journal of Physics: Conference Series. — 2019. — Vol. 1368. Issue 4.
1993
  • 1 Sobolev V.A., Shchepakina E.A. Self-ignition of dusty media // Combustion, Explosion, and Shock Waves (English Translation of Fizika Goreniya i Vzryva) 1993. — Vol. 29. Issue 3. — P. 378-381
  • 2 Sobolev V.A., Shchepakina E.A. Autoignition of dust media // Fizika Goreniya i Vzryva 1993. — Vol. 29. Issue 3. — P. 133-136