Dynamical Systems seminar is supported by RFBR project 20-01-00420-a and Laboratory Poncelet.
Участник:Ilya Schurov: различия между версиями
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ilya | '''Scientific interests''' Dynamical systems: slow-fast systems, limit cycles, attractors. | ||
== Ph.D.== | |||
* '''PhD thesis topic''' [http://ilya.schurov.com/f/thesis-schurov.pdf 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: [http://www.ams.org/mathscinet/msc/msc2010.html?t=&s=34E15&btn=Search&ls=s 34E15], [http://www.ams.org/mathscinet/msc/msc2010.html?t=70K70&s=37G15&btn=Search&ls=Ct 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. [http://dx.doi.org/10.1007/s10883-010-9093-9 ''Ducks On The Torus: Existence and Uniqueness'']. Journal of Dynamical and Control Systems, '''16''':2 (2010), 267—300. Preprint: [http://arxiv.org/abs/0910.1888 arXiv:0910.1888v1 (math.DS)] | |||
* I. Schurov. ''Canard cycles in generic slow-fast systems on the two-torus.'' To appear in ”Transactions of the Moscow Mathematical Society”, accepted in 2009. (Рус.: ''Уточные циклы в типичных быстро-медленных системах на торе.'') | |||
* P. Kaleda, I. Schurov. ''Cyclicity of Elementary Polycycles with Fixed Singular Points Number in Generic k-Parametric Families''. To appear in ''Algebra and Analysis'' (''St. Petersburg Mathematical Journal'') (Рус.: «Цикличность элементарных полициклов с фиксированным числом особых точек в типичных k-параметрических семействах».) | |||
== 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. | |||
* [http://www.pdmi.ras.ru/EIMI/2010/tgd/ Topology, Geometry, and Dynamics]: Rokhlin Memorial, January 11-16, 2010. Saint Petersburg, Russia. ''Canard cycles in generic slow-fast systems on the two-torus'' [http://ilya.schurov.com/File:Ducks_on_torus_(Rokhlin_memorial_abstract,_2010).pdf <nowiki>[abstract]</nowiki>][http://commons.wikimedia.org/wiki/File:Canard_cycles_on_the_two-torus_%28slides,_I._Schurov%29.pdf <nowiki>[slides]</nowiki>] | |||
* [http://www.aimsciences.org/AIMS-Conference/2010/ The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications], Dresden University of Technology Dresden, Germany, May 25—28, 2010. [http://www.aimsciences.org/AIMS-Conference/conf-reg2010/ss/detail.php?abs_no=255 Canard cycles in generic slow-fast systems on the two-torus] [http://ilya.schurov.com/File:Canard_cycles_in_generic_slow-fast_systems_on_the_two-torus_(AIMS2010).pdf <nowiki>[slides]</nowiki>]. | |||
== Scientific schools participation == | |||
* [http://wiki.dynsys.org/Summer_school Dynamical Systems Summer Schools] under supervising of Yu. S. Ilyashenko: Dubna, Bezengi, Solovki, Slovakia (2003-2009). | |||
* [http://www.dance-net.org/rtns2010/ Recent trends in nonlinear sciences] (RTNS 2010). 25 January 2010 — 29 January 2010, Segovia, Spain. | |||
== Conference organization == | |||
* [http://leconf.mccme.ru/ 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 == | |||
* [http://mmmf.math.msu.su/ Junior mechanics and mathematics faculty] («Малый мехмат МГУ»), 2001-2007, senior teacher. | |||
* Participation in ''[http://www.mccme.ru/ium/f09/cycles.html Limit cycles]'' special course in Independent University of Moscow (2 lectures), 2009. | |||
* ''Ordinary differential equations'' course in [http://www.mccme.ru/mathinmoscow/ Math in Moscow] program, Independent University of Moscow & State University — Higher School of Economics (jointly with Yury Kudryahov), Spring 2010. | |||
== Writings == | |||
* ''[http://www.encyclopedia.rosman.ru/books/math.php 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 [http://ru.wikipedia.org/wiki/%D0%A3%D1%87%D0%B0%D1%81%D1%82%D0%BD%D0%B8%D0%BA:Ilya_Voyager/%D0%9C%D0%AD%D0%A8 here].) | |||
* [http://ru.wikipedia.org/ Wikipedia, the free encyclopedia]. Author of several articles on math and other topics (in Russian), see [http://toolserver.org/~soxred93/pages/index.php?name=+Ilya+Voyager&lang=ru&wiki=wikipedia&namespace=0&redirects=noredirects&getall=1 this] automatically generated list. | |||
Версия от 03:35, 19 июня 2010
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.
- 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)
- I. Schurov. Canard cycles in generic slow-fast systems on the two-torus. To appear in ”Transactions of the Moscow Mathematical Society”, accepted in 2009. (Рус.: Уточные циклы в типичных быстро-медленных системах на торе.)
- P. Kaleda, I. Schurov. Cyclicity of Elementary Polycycles with Fixed Singular Points Number in Generic k-Parametric Families. To appear in Algebra and Analysis (St. Petersburg Mathematical Journal) (Рус.: «Цикличность элементарных полициклов с фиксированным числом особых точек в типичных k-параметрических семействах».)
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 (2003-2009).
- 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.
