Persons: Shchurov, Ilya Valer'evich

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Shchurov, Ilya Valer'evich

Candidate of physico-mathematical sciences (2010)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

E-mail:

Website:

Keywords:

slow-fast systems, relaxation oscillations, canard solutions, limit cycles, Hilbert's 16th problem, attractors.

UDC:

517.925.42, 517.928.4, 517.938

MSC:

Subject:

Dynamical systems and differential equations: slow-fast systems, limit cycles, attractors.

Biography

Thesis adviser prof. Yulij Sergeevich Ilyashenko.

Ph.D thesis topic: Canard solutions in slow-fast systems on the two-torus.

Main publications:

I. V. Schurov, “Ducks On The Torus: Existence and Uniqueness”, Journal of Dynamical and Control Systems, 16:2 (2010), 267–300

	Publications in Math-Net.Ru	Citations
	2016
1.	V. Kleptsyn, A. Okunev, I. Schurov, D. Zubov, M. I. Katsnelson, “Chiral tunneling through generic one-dimensional potential barriers in bilayer graphene”, Phys. Rev. B, 92:16 (2016), 165407	17
	2014
2.	A. A. Glutsyuk, V. A. Kleptsyn, D. A. Filimonov, I. V. Shchurov, “On the Adjacency Quantization in an Equation Modeling the Josephson Effect”, Funktsional. Anal. i Prilozhen., 48:4 (2014), 47–64 ; Funct. Anal. Appl., 48:4 (2014), 272–285	14
	2010
3.	P. I. Kaleda, I. V. Shchurov, “Cyclicity of elementary polycycles with fixed number of singular points in generic $k$-parameter families”, Algebra i Analiz, 22:4 (2010), 57–75 ; St. Petersburg Math. J., 22:4 (2011), 557–571	2

	2019
4.	I. V. Shchurov, “Юлию Сергеевичу Ильяшенко — 75!”, Mat. Pros., Ser. 3, 24 (2019), 5–8

Presentations in Math-Net.Ru

1.	Вариационные автокодировщики и латентные пространства с нетривиальной топологией I. V. Shchurov October 18, 2019 18:10
2.	Phase-locking domains in slow-fast equations on the torus and the dynamics of the Josephson effect I. V. Shchurov Dynamical Systems December 7, 2012 18:30
3.	Dynamics of the Josephson effect and slow-fast systems D. A. Filimonov, I. V. Shchurov Dynamical Systems April 13, 2012 18:30

Organisations