Dmitry Sinelshchikov
- Associate Professor:HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE) / School of Applied Mathematics
- Dmitry Sinelshchikov has been at HSE University since 2019.
Education and Degrees
- 2010
Candidate of Sciences* (PhD)
National Research Nuclear University MEPhI - 2008
Degree in Applied Mathematics and Information Science
Moscow Institute of Physics and Engineering
* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
Young Faculty Support Program (Group of Young Academic Professionals)
Category "Future Professoriate" (2020-2021)
Courses (2022/2023)
- Introduction to Nonlinear Dynamics (Bachelor’s programme; Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod); 4 year, 3 module)Rus
- Introduction to Nonlinear Dynamics (Optional course (faculty); 3 module)Rus
- Past Courses
Courses (2021/2022)
- Calculus (Specialist’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Differential Equations (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1, 2 module)Rus
- Introduction to Nonlinear Dynamics (Optional course (faculty); HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 module)Rus
Courses (2020/2021)
- Calculus (Specialist’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1-4 module)Rus
- Equations of Mathematical Physics (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 3, 4 module)Rus
- Introduction to the qualitative and analytical theory of nonlinear dynamical systems (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 3 module)Rus
Courses (2019/2020)
- Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1, 2 module)Rus
- Calculus (Specialist’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
- Modelling of Systems and Processes (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 4 module)Rus
- Research Seminar (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
Courses (2018/2019)
Calculus (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
Publications24
- Article Dmitry I. Sinelshchikov, Guha P., Ghose Choudhury A. Lax representation and a quadratic rational first integral for second-order differential equations with cubic nonlinearity // Communications in Nonlinear Science and Numerical Simulation. 2022. Vol. 112. Article 106553. doi
- Article Garashchuk I., Sinelshchikov D. Bubbling transition as a mechanism of destruction of synchronous oscillations of identical microbubble contrast agents // Chaos. 2021. Vol. 31. No. 2. Article 023130. doi
- Article Demina M.V., Sinelshchikov D. Darboux first integrals and linearizability of quadratic–quintic Duffing–van der Pol oscillators // Journal of Geometry and Physics. 2021. Vol. 165. P. 104215-1-104215-12. doi
- Article Sinelshchikov D. Nonlocal deformations of autonomous invariant curves for Liénard equations with quadratic damping // Chaos, Solitons and Fractals. 2021. Vol. 152. P. 111412-1-111412-5. doi
- Article Sinelshchikov D. On an integrability criterion for a family of cubic oscillators // AIMS MATHEMATICS. 2021. Vol. 6. No. 11. P. 12902-12910. doi
- Article Alfimov G., Fedotov A., Sinelshchikov D. Determination of the blow up point for complex nonautonomous ODE with cubic nonlinearity // Physica D: Nonlinear Phenomena. 2020. Vol. 402. Article 132245. doi
- Article Sinelshchikov D. Linearizability conditions for the Rayleigh-like oscillators // Physics Letters A. 2020. Vol. 384. No. 26. Article 126655. doi
- Article Sinelshchikov D. On linearizability via nonlocal transformations and first integrals for second-order ordinary differential equations // Chaos, Solitons and Fractals. 2020. Vol. 141. Article 110318. doi
- Article Demina M.V., Sinelshchikov D. On the integrability of some forced nonlinear oscillators // International Journal of Non-Linear Mechanics. 2020. Vol. 121. Article 103439. doi
- Article Garashchuk I., Kazakov A., Sinelshchikov D. Synchronous oscillations and symmetry breaking in a model of two interacting ultrasound contrast agents // Nonlinear Dynamics. 2020. Vol. 101. P. 1199-1213. doi
- Article Garashchuk I., Kazakov A., Sinelshchikov D., Kudryashov N. A. Hyperchaos and Multistability in the Model of Two Interacting Microbubble Contrast Agents // Chaos. 2019. Vol. 29. No. 6. P. 063131-1-063131-16. doi
- Article Demina M.V., Sinelshchikov D.I. Integrability Properties of Cubic Liénard Oscillators with Linear Damping // Symmetry. 2019. Vol. 11. No. 11. P. 1-10. doi
- Article Sinelshchikov D., Гаюр И. Ю., Кудряшов Н. А. Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations // Journal of Mathematical Analysis and Applications. 2019. Vol. 480. No. 1. P. 123375-1-123375-14. doi
- Article Garashchuk I., Sinelshchikov D., Kudryashov N. Multistability in dynamics of an encapsulated bubble contrast agent: coexistence of three attractors // Journal of Physics: Conference Series. 2019. Vol. 1205. No. 1. P. 1-5. doi
- Article Sinelshchikov D., Kudryashov N. A., Garashchuk I. Multistability in dynamics of an encapsulated bubble contrast agent: coexistence of three attractors // Journal of Physics: Conference Series. 2019. Vol. 1205. P. 012013-1- 012013-6. doi
- Article Sinelshchikov D., Garashchuk I., Kudryashov N. A. General Solution of the Rayleigh Equation for the Description of Bubble Oscillations Near a Wall // European Journal of Physics: Web of Conference. 2018. Vol. 173. P. 03008-1-03008-4. doi
- Article Garashchuk I., Sinelshchikov D., Kudryashov N. A. Hidden Attractors in a Model of a Bubble Contrast Agent Oscillating Near an Elastic Wall // European Journal of Physics: Web of Conference. 2018. Vol. 173. P. 06006-1-06006-4. doi
- Article Sinelshchikov D., Кудряшов Н. А. Integrable Nonautonomous Liénard-Type Equations / Пер. с рус. // Theoretical and Mathematical Physics. 2018. Vol. 196. No. 2. P. 1230-1240. doi
- Article Garashchuk I., Sinelshchikov D., Kudryashov N. A. Nonlinear Dynamics of a Bubble Contrast Agent Oscillating near an Elastic Wall // Regular and Chaotic Dynamics. 2018. Vol. 23. P. 257-272. doi
- Article Кудряшов Н. А., Sinelshchikov D. New non-standard Lagrangians for the Lienard-type equations // Applied Mathematics Letters. 2017. Vol. 63. P. 124-129. doi
- Article Кудряшов Н. А., Sinelshchikov D. On connections of the Liénard equation with some equations of Painlevé–Gambier type // Journal of Mathematical Analysis and Applications. 2017. Vol. 449. No. 2. P. 1570-1580. doi
- Article Sinelshchikov D., Кудряшов Н. А. On the Jacobi last multipliers and Lagrangians for a family of Lienard-type equations // Applied Mathematics and Computation. 2017. Vol. 307. P. 257-264. doi
- Article Sinelshchikov D., Garashchuk I., Kudryashov N. A. On the analytical properties and some exact solutions of the Glukhovsky-Dolzhansky system // Journal of Physics: Conference Series. 2017. Vol. 788. P. 012013 -1-012013 -6. doi
- Article Sinelshchikov D., Кудряшов Н. А. On the general traveling wave solutions of somenonlinear diffusion equations // Journal of Physics: Conference Series. 2017. Vol. 788. P. 012033-1-012033-5. doi
Mini-symposium at the International Conference on Dynamical Systems
At the end of May 2021, researchers of the TMD laboratory N.V. Stankevich and the international DSPlaboratory Kazakov A.O. organized a mini-symposium within the framework of the internationalconference SIAM Conference on Applications of Dynamical Systems (DS21), held in a virtual format.