Yuly Ilyashenko
- Research Professor:Faculty of Mathematics
- Programme Scientific Supervisor:Mathematics
- Tenured Professor (2016)
- Yuly Ilyashenko has been at HSE University since 2009.
Education, Degrees and Academic Titles
- 1998Professor
- 1995
Doctor of Sciences*
- 1965
Degree
Lomonosov Moscow State University
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Research interests
Generuc properties of attractors of dynamical systems. Limit cycles of planar vector fields. Topology of complex foliations.
Courses (2023/2024)
Differential Equations (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1, 2 module)Rus
- Research Seminar "Dynamical Systems 1" (Optional course (faculty); 1, 2 module)Rus
- Past Courses
Courses (2022/2023)
Differential Equations (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1, 2 module)Rus
- Research Seminar "Advanced Course in Differential Equations" (Optional course (faculty); 3, 4 module)Rus
- Research Seminar "Dynamical Systems 1" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Dynamical Systems 2" (Optional course (faculty); 3, 4 module)Rus
Courses (2021/2022)
- Research Seminar "Dynamical Systems 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Dynamical Systems 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Courses (2020/2021)
- Research Seminar "Dynamical Systems 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Dynamical Systems 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Courses (2019/2020)
- Research Seminar "Dynamical Systems 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Dynamical Systems 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Courses (2018/2019)
Calculus (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1-4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Courses (2017/2018)
Calculus (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Editorial board membership
2012: Member of the Editorial Board, Arnold Mathematical Journal.
2010: Member of the Editorial Board, Bulletin des Sciences Mathematiques.
2001: Editor-in-chief, Moscow Mathematical Journal.
2001: Member of the Editorial Board, Труды Московского математического общества (Transactions of the Moscow Mathematical Society).
1997: Member of the Editorial Board, Математическое просвещение.
1995: Member of the Editorial Board, Journal of Dynamical and Control Systems.
2000–2005: Member of the Editorial Board, Ergodic Theory an Dynamical Systems.
1996–2003: Member of the Editorial Board, Функциональный анализ и его приложения (Functional Analysis and Its Applications).
Conferences
- 2019
Dynamics Beyond Uniform Hyperbolicity (Марсель). Presentation: Skew products, thick, unstable and other unexpected attractors
- "2020 vision for dynamics" in memory of Anatole Katok (Бедлево). Presentation: Global bifurcations on the two sphere: first steps of a new theory
Workshop on New Trends in Polynomial Differential Systems (Монреаль). Presentation: Global bifurcation in two spheres
- Динамические системы 2019 (Московская область). Presentation: Некоторые вопросы теории вещественных и комплексных динамических систем
- 2014The Legacy of Vladimir Arnold (Торонто). Presentation: Rotation numbers and moduli of elliptic curves
Publications37
- Article Ilyashenko Y. Germs of bifurcation diagrams and SN–SN families // Chaos. 2021. Vol. 31. Article 013103. doi
- Article Dukov A., Ilyashenko Y. Numeric invariants in semilocal bifurcations // Journal of Fixed Point Theory and Applications. 2021. Vol. 23. Article 3. doi
- Article Гончарук Н. Б., Ильяшенко Ю. С. Различные отношения эквивалентности в глобальной теории бифуркаций // Труды Математического института им. В.А. Стеклова РАН. 2020. Т. 310. С. 86-106. doi
- Chapter Ilyashenko Y. First steps of the global bifurcation theory in the plane, in: Contemporary mathematics Vol. 734: Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial. Providence : AMS, 2019. doi P. 145-158. doi
- Article Goncharuk N. B., Ilyashenko Y., Солодовников Н. А. GLOBAL BIFURCATIONS IN GENERIC ONE-PARAMETER FAMILIES WITH A PARABOLIC CYCLE ON S^2 // Moscow Mathematical Journal. 2019. Vol. 19. No. 4. P. 709-737. doi
- Article Ilyashenko Y., Solodovnikov N. Global bifurcations in generic one-parameter families with a separatrix loop on S^2 // Moscow Mathematical Journal. 2018. Vol. 18. No. 1. P. 93-115.
- Article Yu. Ilyashenko, Kudryashov Y., I. Schurov. Global bifurcations in the two-sphere: a new perspective // Inventiones Mathematicae. 2018. Vol. 213. No. 2. P. 461-506. doi
- Chapter Ilyashenko Y., Shilin I. Attractors and skew products, in: Contemporary Mathematics Vol. 692: Modern Theory of Dynamical Systems: A Tribute to Dmitry Victorovich Anosov. Providence, Rhode Island : American Mathematical Society, 2017. doi P. 155-175. doi
- Article Tsfasman M. A., Gusein-Zade S. M., Ilyashenko Y. Moscow Mathematical Journal // Higher Education in Russia and Beyond. 2017. No. 1(11). P. 21-22.
- Article Ilyashenko Y. Finiteness theorems for limit cycles: A digest of the revised proof // Izvestiya. Mathematics. 2016. Vol. 80. No. 1. P. 50-112. doi
- Article Ilyashenko Y., Romaskevich O. L. Sternberg Linearization Theorem for Skew Products // Journal of Dynamical and Control Systems. 2016. Vol. 22. No. 3. P. 595-614. doi
- Chapter Ilyashenko Y. Towards the General Theory of Global Planar Bifurcations, in: Mathematical Sciences with Multidisciplinary Applications. In Honor of Professor Christiane Rousseau. And In Recognition of the Mathematics for Planet Earth Initiative Vol. 157. NY : Springer, 2016. doi Ch. 13. P. 269-299. doi
- Article Ильяшенко Ю. С. Теоремы конечности для предельных циклов: схема обновленного доказательства // Известия РАН. Серия математическая. 2016. Т. 80. № 1. С. 55-118. doi
- Preprint Ilyashenko Y., Kudryashov Y., Schurov I. An open set of structurally unstable families of vector fields in the two-sphere / Cornell University. Series math "arxiv.org". 2015. No. 1506.06797.
- Article Ilyashenko Y. Complex length and persistence of limit cycles in a neighborhood of a hyperbolic polycycle // Publicacions Matematiques. 2014. Vol. EXTRA. P. 279-286.
- Book Ильяшенко Ю. С., Яковенко С. Ю. Аналитическая теория дифференциальных уравнений Т. 1. М. : МЦНМО, 2013.
- Article Ilyashenko Y., Negut A. Hölder properties of perturbed skew products and Fubini regained // Nonlinearity. 2012. Vol. 25. No. 8. P. 2377-2399. doi
- Article Ilyashenko Y. Multidimensional bony attractors // Functional Analysis and Its Applications. 2012. Vol. 46. No. 4. P. 239-248. doi
- Article Ilyashenko Y., Shilin I. Relatively unstable attractors // Proceedings of the Steklov Institute of Mathematics. 2012. Vol. 277. No. 1. P. 84-93.
- Article Ilyashenko Y., Khesin B., Tabachnikov S. V.I.Arnold, as I have seen him // Notices of the American Mathematical Society. 2012. Vol. 49. No. 4. P. 489-492.
- Book Ильяшенко Ю. С. Лекции по обыкновенным дифференциальным уравнениям Ч. 1. М. : Издательство МГУ, 2012.
- Article Ильяшенко Ю. С. Многомерные костистые аттракторы // Функциональный анализ и его приложения. 2012. Т. 46. № 4. С. 1-13.
- Article Ilyashenko Y. Thick attractors of boundary preserving diffeomorphisms // Indagationes Mathematicae. 2011. No. 22(3-4). P. 257-314.
- Article Ilyashenko Y. Total rigidity of generic quadratic vector fields // Moscow Mathematical Journal. 2011. No. 11(3). P. 521-530.
- Article Ilyashenko Y. Weak total rigidity for polynomial vector fields of arbitrary degree // Moscow Mathematical Journal. 2011. No. 11(2). P. 259-263.
- Article Филимонов Д. А., Ильяшенко Ю. С., Рыжов Д. А. Захват фазы для уравнений, описывающих резистивную модель джозефсоновского перехода, и их возмущений // Функциональный анализ и его приложения. 2011. Т. 45. № 3. С. 41-54.
- Article Ilyashenko Y. Cascades of invisibility of attractors // Journal of Fixed Point Theory and Applications. 2010. No. 7. P. 161-188.
- Article Ilyashenko Y. Restricted Hilbert’s 16th problem for quadratic systems // Moscow Mathematical Journal. 2010. No. 10(2). P. 317-335.
- Article Ilyashenko Y. Thick attractors of step skew products // Regular and Chaotic Dynamics. 2010. No. 15(2-3). P. 328-334.
- Article Ilyashenko Y., Gusein-Zade S., Kaledin D. A tribute to Pierre Deligne // Moscow Mathematical Journal. 2009. No. 9:1
- Article Ilyashenko Y. Diffeomorphisms with intermingled attracting basins // Functional Analysis and Its Applications. 2008. No. 42(4). P. 60-71.
- Article Ilyashenko Y. Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins // Journal of Fixed Point Theory and Applications. 2008. No. 3. P. 449-463.
- Article Ilyashenko Y. Some open problems in real and complex dynamical systems // Nonlinearity. 2008. No. 21. P. 1-7.
- Article Ilyashenko Y. The monodromy group // Bulletin of the American Mathematical Society( New Series). 2008. No. 45. P. 329-334.
- Article Ilyashenko Y. Total rigidity of polynomial foliations on the complex projective plane, // Proceedings of the Steklov Institute of Mathematics. 2007. No. 259. P. 64-76.
New Tenured Professors at HSE
On April 29, 2016 at the Academic Council meeting 25 HSE Professors were conferred the status of Tenured Professor.
'The Winter School Is What Led to My Firm Decision to Go to HSE'
On February 4-8 of next year, the Faculty of Mathematics is hosting a Winter School at Voronovo, a special conference centre in the Moscow region with lodging and recreational facilities.
Math in Moscow Admits Students for Spring Semester
Math in Moscow, a joint programme run by the Independent University of Moscow, the Moscow Centre for Continuous Mathematical Education and the Higher School of Economics, is accepting applications for the spring 2016 semester until September 30. The Math in Moscow programme for international students has been giving young mathematicians from different countries the opportunity to learn from the best Russian teachers. All programme courses are taught in English.