Persons: Filimonov, Dmitry Andreevich

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Filimonov, Dmitry Andreevich

Candidate of physico-mathematical sciences (2010)

Speciality:

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

Birth date:

22.02.1985

E-mail:

Keywords:

Circle maps, Arnold tongues, turbulent systems, limit cycles.

Subject:

Dynamical systems, differential equations.

Main publications:

D. Filimonov, “On the simplest system with retarding switching and 2-point critical set.”, Functional Differential Equations, 11:3–4 (2004), 333–339
Filimonov D.A., “3-kh tochechnoe kriticheskoe mnozhestvo dlya sistemy s zapazdyvayuschim pereklyucheniem.”, Materialy mezhdunarodnoi nauchnoi konferentsii «Topologicheskie i variatsionnye metody nelineinogo analiza i ikh prilozheniya», Voronezh, 2005, 106-107
D. Filimonov, “Normalnye formy kvadratichnykh vektornykh polei i uravnenie Shi Songlina”, Differentsialnye Uravneniya, 46:5 (2010), 647-657

	Publications in Math-Net.Ru	Citations
	2014
1.	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
	2012
2.	V. A. Kleptsyn, D. A. Filimonov, “Structure of Groups of Circle Diffeomorphisms with the Property of Fixing Nonexpandable Points”, Funktsional. Anal. i Prilozhen., 46:3 (2012), 38–61 ; Funct. Anal. Appl., 46:3 (2012), 191–209	4
3.	V. A. Kleptsyn, D. A. Filimonov, “Lyapunov exponents and other properties of $N$-groups”, Tr. Mosk. Mat. Obs., 73:1 (2012), 37–46 ; Trans. Moscow Math. Soc., 73 (2012), 29–36	2
	2011
4.	Yu. S. Ilyashenko, D. A. Ryzhov, D. A. Filimonov, “Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations”, Funktsional. Anal. i Prilozhen., 45:3 (2011), 41–54 ; Funct. Anal. Appl., 45:3 (2011), 192–203	23

Presentations in Math-Net.Ru

1.	Минимальные аналитические действия на окружности с нерастяжимыми точками D. A. Filimonov Seminar "Optimal Control and Dynamical Systems" April 3, 2015 13:00
2.	Dynamics of the Josephson effect and slow-fast systems D. A. Filimonov, I. V. Shchurov Dynamical Systems April 13, 2012 18:30
3.	Group actions on the circle that satisfy property ($\star$) D. A. Filimonov Dynamical Systems March 12, 2010 18:25

Organisations