Persons: Kashchenko, Ilya Sergeevich

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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:

Kashchenko I. S., “Local Dynamics of Equations with Large Delay”, Computational Mathematics and Mathematical Physics, 48:12 (2008), 2172–2181
Kashchenko I. S., “Multistability in Nonlinear Parabolic Systems with Low Diffusion”, Doklady Mathematics, 435:2 (2010), 878-881
Kashchenko I., Kaschenko S, “Dynamics of the Kuramoto equation with spatially distributed control”, Communications in Nonlinear Science and Numerical Simulation, 34 (2016), 123-129
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
	2025
1.	I. S. Kashchenko, S. A. Kaschenko, “Simulation of delay using a system of ordinary differential equations”, Mat. Zametki, 118:2 (2025), 240–257 ; Math. Notes, 118:2 (2025), 294–308
2.	I. S. Kashchenko, S. A. Kaschenko, I. N. Maslenikov, “Dynamics of second-order equations with impulse-type delayed feedback”, Uspekhi Mat. Nauk, 80:1(481) (2025), 159–160 ; Russian Math. Surveys, 80:1 (2025), 147–149
	2024
3.	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 ; Dokl. Math., 109:3 (2024), 275–281
	2023
4.	I. S. Kashchenko, S. A. Kaschenko, “Local dynamics of the model of a semiconductor laser with delay”, TMF, 215:2 (2023), 232–241 ; Theoret. and Math. Phys., 215:2 (2023), 658–666	2
	2022
5.	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 ; Math. Notes, 111:5 (2022), 818–822
6.	I. S. Kashchenko, E. M. Glushevskii, “Local dynamics of equation with periodically distributed delay”, TMF, 212:2 (2022), 273–286 ; Theoret. and Math. Phys., 212:2 (2022), 1125–1136	4
	2021
7.	I. S. Kashchenko, E. V. Krivets, “Dynamics of a singularly perturbed system of two differential equations with delay”, TMF, 207:3 (2021), 424–437 ; Theoret. and Math. Phys., 207:3 (2021), 770–781	2
	2020
8.	I. S. Kashchenko, “Influence of the second delay on local dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020), 1304–1314 ; Comput. Math. Math. Phys., 60:8 (2020), 1261–1270	1
	2019
9.	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	2
	2018
10.	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 ; Russian Math. (Iz. VUZ), 62:9 (2018), 24–34	4
	2017
11.	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 ; Math. Notes, 101:2 (2017), 379–381	1
	2016
12.	I. S. Kashchenko, S. A. Kashchenko, “Local dynamics of two-component singularly perturbed parabolic systems”, Tr. Mosk. Mat. Obs., 77:1 (2016), 67–82 ; Trans. Moscow Math. Soc., 77 (2016), 55–68	3
	2015
13.	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 ; Comput. Math. Math. Phys., 55:4 (2015), 607–617	3
	2014
14.	I. S. Kashchenko, S. A. Kaschenko, “Local dynamics of difference and difference-differential equations”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:1 (2014), 71–92	1
15.	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
16.	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 ; Siberian Math. J., 55:2 (2014), 254–261	3
17.	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 ; Comput. Math. Math. Phys., 54:5 (2014), 785–796	3
	2013
18.	I. S. Kashchenko, “Spatial Properties of High-Mode Bifurcations of a Distributed Logistic Equation”, Model. Anal. Inform. Sist., 20:3 (2013), 29–42
19.	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	1
	2012
20.	I. S. Kashchenko, S. A. Kashchenko, “The dynamics of Kuramoto equation with spatially-distributed control”, Model. Anal. Inform. Sist., 19:1 (2012), 24–35	1
21.	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 ; Comput. Math. Math. Phys., 52:8 (2012), 1163–1172	5
	2011
22.	I. S. Kashchenko, “Local dynamics of an equation with large exponential distributed delay”, Model. Anal. Inform. Sist., 18:3 (2011), 42–49	3
23.	I. S. Kashchenko, “Dynamical properties of a model for the passive mode locking”, Model. Anal. Inform. Sist., 18:1 (2011), 32–36
	2010
24.	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	3
25.	I. S. Kashchenko, “Normalization in the system with two close large delays”, Nelin. Dinam., 6:1 (2010), 169–180	4
	2009
26.	I. S. Kashchenko, “Normalization of equation with linear distributed delay”, Model. Anal. Inform. Sist., 16:4 (2009), 109–116	3
27.	D. S. Kashchenko, I. S. Kashchenko, “Dynamics of a logistic equation with spatially distributed saturation”, Model. Anal. Inform. Sist., 16:1 (2009), 54–61	2
	2008
28.	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	2
29.	I. S. Kashchenko, “The Buffer Phenomenon in second-order equations with large delay”, Model. Anal. Inform. Sist., 15:2 (2008), 31–35	1
30.	I. S. Kashchenko, “Local dynamics of equations with large delay”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008), 2141–2150 ; Comput. Math. Math. Phys., 48:12 (2008), 2172–2181	43
	2007
31.	I. S. Kashchenko, “Dynamic properties of first-order equations with large delay”, Model. Anal. Inform. Sist., 14:2 (2007), 58–62	1

	2023
32.	I. S. Kashchenko, S. D. Glyzin, “On the anniversary of Sergei A. Kashchenko”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:2 (2023), 125–127

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

P.G. Demidov Yaroslavl State University