Участник:Ilya Schurov

Scientific interests Dynamical systems: slow-fast systems, limit cycles, attractors.

Ph.D.

• PhD thesis topic Canard solutions in slow-fast systems on the two-torus.
  • Классификатор ВАК: 010102
  • УДК: 517.925.42 + 517.928.4 + 517.938
  • AMS MSC 2010: 34E15, 37G15.
• Thesis adviser prof. Yulij Sergeevich Ilyashenko.
• Defended June 18, 2010.

Education

• 2006 — 2009. Moscow State University, Department of Mechanics and Mathematics. Ph.D. student. Differential equations, under supervision of Yulij Sergeevich Ilyashenko.
• 2001 — 2006, Moscow State University, Department of Mechanics and Mathematics. Student. Graduated cum laude.

Papers

• I. V. Schurov. Ducks On The Torus: Existence and Uniqueness. Journal of Dynamical and Control Systems, 16:2 (2010), 267—300. Preprint: arXiv:0910.1888v1 (math.DS)
• Щуров И.В. Уточные циклы в типичных быстро-медленных системах на торе., Труды ММО 71 (2010), 200-234
  • Translation: I. V. Shchurov. Canard cycles in generic fast-slow systems on the torus. Transactions of the Moscow Mathematical Society, 2010, 175-207 PDF
• P. Kaleda, I. Schurov. Cyclicity of Elementary Polycycles with Fixed Singular Points Number in Generic k-Parametric Families. Algebra and Analysis (St. Petersburg Mathematical Journal) (Рус.: П. И. Каледа, И. В. Щуров. «Цикличность элементарных полициклов с фиксированным числом особых точек в типичных k-параметрических семействах». Алгебра и анализ. 22:4 (2010), 57—75)
• I. V. Schurov. Duck farming on the two-torus: multiple canard cycles in generic slow-fast systems, submitted to the proceedings for the Eighth AIMS International Conference on Dynamical Systems, Differential Equations and Applications, arXiv:1008.0133 (Math.DS).

Conference talks

• Petrovskii Conference: Differential Equations and Related Topics, Moscow State University, 2007. Abstract: Ducks on the torus existence and uniqueness, Международная конференция, посвященная памяти И.Г.Петровского, тезисы докладов. — М.: Издательство МГУ, 2007 — с. 358.
• Topology, Geometry, and Dynamics: Rokhlin Memorial, January 11-16, 2010. Saint Petersburg, Russia. Canard cycles in generic slow-fast systems on the two-torus [abstract][slides]
• The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden University of Technology Dresden, Germany, May 25—28, 2010. Canard cycles in generic slow-fast systems on the two-torus [slides].

Scientific schools participation

• Dynamical Systems Summer Schools under supervising of Yu. S. Ilyashenko: Dubna, Bezengi, Solovki, Slovakia (2003-2010).
• Recent trends in nonlinear sciences (RTNS 2010). 25 January 2010 — 29 January 2010, Segovia, Spain.

Conference organization

• Lyapunov Exponents and Related Topics in Dynamics and Geometry, French-Russian International Conference. Independent University of Moscow, Laboratoire Jean-Victor Poncelet, Moscow, January 24-28, 2005. Member of the organizing committee.

Teaching experience

• Junior mechanics and mathematics faculty («Малый мехмат МГУ»), 2001-2007, senior teacher.
• Participation in Limit cycles special course in Independent University of Moscow (2 lectures), 2009.
• Ordinary differential equations course in Math in Moscow program, Independent University of Moscow & State University — Higher School of Economics (jointly with Yury Kudryahov), Spring 2010.

Writings

• Modern Illustrated Encyclopedia: Mathematics, Informatics. (Рус.: Современная Иллюстрированная Энциклопедия: Математика, Информатика. Росмэн, 2007. ISBN 978-5-353-02884-0.) Author of several articles on calculus, differential equations and discrete math. (See incomplete list here.)
• Wikipedia, the free encyclopedia. Author of several articles on math and other topics (in Russian), see this automatically generated list.