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Kashchenko, Ilya Sergeevich
Associate professor
Doctor of physico-mathematical sciences (2018)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Website: https://math.uniyar.ac.ru/professors/show/2fccc719-f4ea-44f1-9537-2357a1d61d74
Keywords: normal form, singular perturbation, bifurcation, delay
UDC: 519.62

Subject:

asymptotic methods, nonlinear dynamics, delay differential equations
   
Main publications:
  1. Kashchenko I. S., “Local Dynamics of Equations with Large Delay”, Computational Mathematics and Mathematical Physics, 48:12 (2008), 2172–2181
  2. Kashchenko I. S., “Multistability in Nonlinear Parabolic Systems with Low Diffusion”, Doklady Mathematics, 435:2 (2010), 878-881
  3. Kashchenko I., Kaschenko S, “Dynamics of the Kuramoto equation with spatially distributed control”, Communications in Nonlinear Science and Numerical Simulation, 34 (2016), 123-129
  4. Kashchenko I.S., Kashchenko S.A., “Local dynamics of two-component singularly perturbed parabolic systems”, Transactions of the Moscow Mathematical Society, 77:1 (2016), 55-68

https://www.mathnet.ru/eng/person53656
List of publications on Google Scholar
https://elibrary.ru/author_items.asp?authorid=145449

Publications in Math-Net.Ru Citations
2024
1. I. S. Kashchenko, S. A. Kaschenko, I. N. Maslenikov, “Stability of solutions to the logistic equation with delay, diffusion, and nonclassical boundary conditions”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024),  101–108  mathnet  elib; Dokl. Math., 109:3 (2024), 275–281
2023
2. I. S. Kashchenko, S. A. Kaschenko, “Local dynamics of the model of a semiconductor laser with delay”, TMF, 215:2 (2023),  232–241  mathnet  mathscinet; Theoret. and Math. Phys., 215:2 (2023), 658–666  scopus 1
2022
3. V. O. Golubenets, I. S. Kashchenko, “Local Dynamics of a Singularly Perturbed Second Order Equation with State-Dependent Delay”, Mat. Zametki, 111:5 (2022),  795–799  mathnet  mathscinet; Math. Notes, 111:5 (2022), 818–822  scopus
4. I. S. Kashchenko, E. M. Glushevskii, “Local dynamics of equation with periodically distributed delay”, TMF, 212:2 (2022),  273–286  mathnet  mathscinet; Theoret. and Math. Phys., 212:2 (2022), 1125–1136  scopus 2
2021
5. I. S. Kashchenko, E. V. Krivets, “Dynamics of a singularly perturbed system of two differential equations with delay”, TMF, 207:3 (2021),  424–437  mathnet  elib; Theoret. and Math. Phys., 207:3 (2021), 770–781  isi  scopus
2020
6. I. S. Kashchenko, “Influence of the second delay on local dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020),  1304–1314  mathnet  elib; Comput. Math. Math. Phys., 60:8 (2020), 1261–1270  isi  scopus
2019
7. I. S. Kashchenko, S. A. Kaschenko, “Dynamics of equation with two delays modelling the number of population”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:2 (2019),  21–38  mathnet  elib 2
2018
8. I. S. Kashchenko, S. A. Kashchenko, “Analysis of local dynamics of difference and close to them differential-difference equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 9,  29–41  mathnet; Russian Math. (Iz. VUZ), 62:9 (2018), 24–34  isi  scopus 4
2017
9. I. S. Kashchenko, “Local Dynamics of a Second-Order Differential-Difference Equation with Large Delay at the First Derivative”, Mat. Zametki, 101:2 (2017),  318–320  mathnet  mathscinet  elib; Math. Notes, 101:2 (2017), 379–381  isi  scopus 1
2016
10. I. S. Kashchenko, S. A. Kashchenko, “Local dynamics of two-component singularly perturbed parabolic systems”, Tr. Mosk. Mat. Obs., 77:1 (2016),  67–82  mathnet  elib; Trans. Moscow Math. Soc., 77 (2016), 55–68  scopus 3
2015
11. I. S. Kashchenko, S. A. Kashchenko, “Dynamics of strongly coupled spatially distributed logistic equations with delay”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015),  610–620  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 55:4 (2015), 607–617  isi  elib  scopus 3
2014
12. I. S. Kashchenko, S. A. Kaschenko, “Local dynamics of difference and difference-differential equations”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:1 (2014),  71–92  mathnet 1
13. V. G. Bogaevskaya, I. S. Kashchenko, “The Influence of Delayed Feedback Control on Stabilization of Periodic Orbits”, Model. Anal. Inform. Sist., 21:1 (2014),  53–65  mathnet
14. I. S. Kashchenko, S. A. Kashchenko, “Local dynamics of an equation with large delay and distributed deviation of the space variable”, Sibirsk. Mat. Zh., 55:2 (2014),  315–323  mathnet  mathscinet; Siberian Math. J., 55:2 (2014), 254–261  isi  scopus 3
15. I. S. Kashchenko, S. A. Kashchenko, “Dynamics of the logistic delay equation with a large spatially distributed control coefficient”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014),  766–778  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:5 (2014), 785–796  isi  elib  scopus 3
2013
16. I. S. Kashchenko, “Spatial Properties of High-Mode Bifurcations of a Distributed Logistic Equation”, Model. Anal. Inform. Sist., 20:3 (2013),  29–42  mathnet
17. E. V. Grigorieva, I. S. Kashchenko, S. A. Kashchenko, “Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient”, Model. Anal. Inform. Sist., 20:1 (2013),  18–29  mathnet 1
2012
18. I. S. Kashchenko, S. A. Kashchenko, “The dynamics of Kuramoto equation with spatially-distributed control”, Model. Anal. Inform. Sist., 19:1 (2012),  24–35  mathnet 1
19. I. S. Kashchenko, S. A. Kashchenko, “Quasi-normal forms for parabolic systems with strong nonlinearity and weak diffusion”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1482–1491  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:8 (2012), 1163–1172  isi  elib  scopus 5
2011
20. I. S. Kashchenko, “Local dynamics of an equation with large exponential distributed delay”, Model. Anal. Inform. Sist., 18:3 (2011),  42–49  mathnet 3
21. I. S. Kashchenko, “Dynamical properties of a model for the passive mode locking”, Model. Anal. Inform. Sist., 18:1 (2011),  32–36  mathnet
2010
22. E. V. Grigorieva, I. S. Kashchenko, S. A. Kashchenko, “Multistability in a laser model with large delay”, Model. Anal. Inform. Sist., 17:2 (2010),  17–27  mathnet 3
23. I. S. Kashchenko, “Normalization in the system with two close large delays”, Nelin. Dinam., 6:1 (2010),  169–180  mathnet 4
2009
24. I. S. Kashchenko, “Normalization of equation with linear distributed delay”, Model. Anal. Inform. Sist., 16:4 (2009),  109–116  mathnet 3
25. D. S. Kashchenko, I. S. Kashchenko, “Dynamics of a logistic equation with spatially distributed saturation”, Model. Anal. Inform. Sist., 16:1 (2009),  54–61  mathnet 2
2008
26. D. S. Kashchenko, I. S. Kashchenko, “Dynamics of parabolic equation with small diffusion and deviation of spatial variable”, Model. Anal. Inform. Sist., 15:2 (2008),  89–93  mathnet 2
27. I. S. Kashchenko, “The Buffer Phenomenon in second-order equations with large delay”, Model. Anal. Inform. Sist., 15:2 (2008),  31–35  mathnet 1
28. I. S. Kashchenko, “Local dynamics of equations with large delay”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008),  2141–2150  mathnet  mathscinet; Comput. Math. Math. Phys., 48:12 (2008), 2172–2181  isi  scopus 42
2007
29. I. S. Kashchenko, “Dynamic properties of first-order equations with large delay”, Model. Anal. Inform. Sist., 14:2 (2007),  58–62  mathnet 1
2023
30. I. S. Kashchenko, S. D. Glyzin, “On the anniversary of Sergei A. Kashchenko”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:2 (2023),  125–127  mathnet

Presentations in Math-Net.Ru
1. Влияние второго запаздывания на локальную динамику
I. S. Kashchenko

November 8, 2022 17:30
2. Local dynamics of the second order differential equations with delay
I. S. Kashchenko
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 8, 2022 17:30   
3. Бифуркации в уравнениях с запаздыванием
I. S. Kashchenko

August 9, 2021 15:30

Organisations
 
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