Dynamical Systems seminar is supported by RFBR project 20-01-00420-a and Laboratory Poncelet.

Заглавная страница: различия между версиями

Материал из DSWiki
Перейти к навигацииПерейти к поиску
(KJOxNLxhoPNPlEBak)
 
(не показано 146 промежуточных версий 10 участников)
Строка 1: Строка 1:
http://frecc452.007webs.com/fetch-53-serial-number.html serial number site
<small><p align="right">[[/en|English version]]</p>
http://gitar24.phreesite.com/dalmation-dog-halloween-costume.html dog and beth costumes
</small>
http://hyhyhy454.100webspace.net/top-soccer-team.html top soccer team
 
http://mkuoooe.blackapplehost.com/microsoft-visual-studio-tools-for-the-microsoft-office-system.html microsoft office spellcheck
<big>'''Dynamical Systems'''</big>
http://hyhyhy454.100webspace.net/hair-care-shampoo.html hair care products shampoo
 
http://cyymigf.blackapplehost.com/about-gta-4.html gta 4 little jacob
Welcome to the official site of the seminar on Dynamical Systems supervised by Yu.S.Ilyashenko.
http://zaninwu.blackapplehost.com/texas-drivers-license.html texas drivers license
 
http://slivva32.100webspace.net/a-channel-in-youtube.html queen youtube channel
The seminar on Dynamical Systems supervised now by A.Gorodetski and Yu. Ilyashenko continues the activities started 30 years ago in the seminar on Differential Equations organized by N. Nekhoroshev and Yu. Ilyashenko.
http://hyhyhy454.100webspace.net/great-baby-names.html baby name poll
 
http://gitar24.phreesite.com/graphics-suite-12-serial.html graphics suite x3 free
The modern theory of dynamical systems is one of the main tools of natural studies. As a mathematical discipline it spreads from physics and probability to multidimentional complex analysis and algebraic geometry.
http://frecc452.007webs.com/1-glass-of-wine.html wine bottle and glass holder
 
http://slivva32.100webspace.net/resivour-fishing-report.html roche lake fishing report
Some key problems are: How chaos occurs in deterministic systems? Where is the boundary between differential equations and probability theory in the description of the limit behavior of dynamical systems? Is our Solar System stable? What the attractor of a typical dynamical system looks like? What are the characteristic features of the foliations of a complex plane by analytic curves? What may be said about the number and location of limit cycles of a planar polynomial vector field? These questions (two of them going back to Poincare and Hilbert) are or were in the realm of the investigations of the seminar.
http://zaninwu.blackapplehost.com/how-to-speed-up-an-internet-connection.html i test my internet connection speed
 
http://hyhyhy454.100webspace.net/jobs-in-central-florida.html pharmacy jobs in florida
One of the traditions of the seminar is a part of a general tradition of Moscow Mathematical School. It is involving young students in the creative work on the very early stage of their education. Several new results are obtained by the third and second year undergraduate students participating the seminar.
http://mkuoooe.blackapplehost.com/depression-glass-ware.html international depression glass
== Current activities ==
http://gitar24.phreesite.com/bikram-yoga-sarasota.html bikram yoga omaha
<!-- === Seminar at MSU ===
http://mkuoooe.blackapplehost.com/mass-effect-branded-xbox-360-console.html put in a xbox 360 console
{{:Доклад:9.9.2011}} -->
http://hyhyhy454.100webspace.net/active-duty-fitness-for-women.html fitness for women ct
 
http://slivva32.100webspace.net/mizuno-soccer-shoes.html shoes of soccer
<!-- === Seminar at IUM ===
http://slivva32.100webspace.net/fiberglass-windows-cost.html anderson stained glass windows
{{:Доклад:25.04.2011}}
http://mkuoooe.blackapplehost.com/fiberglass-repair-san.html fiberglass repair tools
-->
http://slivva32.100webspace.net/vegetarian-casserole-recipe.html bread casserole recipe
* [https://www.hse.ru/our/news/876470885.html Интервью Юлия Сергеевича "Вышке для своих" (30 ноября 2023)]
http://mkuoooe.blackapplehost.com/metropolitan-museum-of-art-schedule.html metropolitan museum of art times
* [[Seminar talks 2020-2021]]
http://zaninwu.blackapplehost.com/miami-museum-of-science-planetarium.html miami museum of science planetarium
* [[Dynamical Systems 2019]]
http://zaninwu.blackapplehost.com/deer-hunting-games-you-can.html deer hunting in colorado
 
http://cyymigf.blackapplehost.com/the-fly-fishing-show.html biscayne bay fly fishing
 
http://cyymigf.blackapplehost.com/top-drink-recipes.html bloody mary drink recipe
* [http://www.dyn-sys.org/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:2025_lecture_notes.pdf Lecture notes of summer school "Dynamical Systems 2025"] (in Russian), Yu.S. Ilyashenko and A. Uskova.
http://cyymigf.blackapplehost.com/lake-pike-fishing.html lake sakakawea offers fishing
 
http://gitar24.phreesite.com/fable-2-12-hours.html fable 2 community
 
http://frecc452.007webs.com/moreton-bay-fishing-report.html nevada fishing report
 
http://frecc452.007webs.com/kbb-used-car-pricing.html parkers used car pricing
== Papers ==
http://frecc452.007webs.com/good-sea-fishing.html good sea fishing
 
http://cyymigf.blackapplehost.com/fishing-creel-baskets.html fishing equipment reels
* [https://arxiv.org/pdf/2410.11465 "Singular points in generic two-parameter families of vector fields on 2-manifold"] by Yu. S. Ilyashenko and D. A. Filimonov, Regular and Chaotic Dynamics, 2025, V. 30, Issue 2, pp. 279–290.  
http://gitar24.phreesite.com/rapidshare-dvd.html rapidshare com dvd
* [http://www.dyn-sys.org/w/images/d/df/Ilyashenko_2024_stability.pdf "Set theoretical pathologies in the problem of Lyapunov stability of singular points of vector fields"] by Yu. Ilyashenko,  Journal of Fixed Point Theory and Applications, V. 26, article 24, 2024.
http://zaninwu.blackapplehost.com/japan-body-massage.html body massage rapidshare
* [http://www.dyn-sys.org/w/images/8/8c/Ilyashenko_2024_SN_Dulac_maps.pdf "Dulac maps of real saddle-nodes"] by Yu. Ilyashenko, Nonlinearity, V. 37, No. 10, 2024.
* [http://www.dyn-sys.org/w/images/3/35/CHA20-AR-GBC2021-01328.pdf "Germs of bifurcation diagrams and SN-SN families"]  by Yu. Ilyashenko, Chaos 31, 1, 2021, [https://doi.org/10.1063/5.0030742  https://doi.org/10.1063/5.0030742]
* Papers on global bifurcations in one-parameter families:
[http://www.dyn-sys.org/w/images/8/8c/Starichkova_tame_1_par_families.pdf "Global bifurcations in generic one-parameter families on S^2" by V. Starichkova.]
 
[http://www.dyn-sys.org/w/images/a/a6/IS_saddle_loop.pdf "Global bifurcations in generic one-parameter families with a separatrix loop on S^2" by Yu. Ilyashenko and N. Solodovnikov.]
 
[http://www.dyn-sys.org/w/images/5/5e/GIS_parabolic_cycle.pdf "Global bifurcations in generic one-parameter families with a parabolic cycle on S^2" by N. Goncharuk, Yu. Ilyashenko, and N. Solodovnikov.]    [https://arxiv.org/pdf/1707.09779.pdf (arXiv:1707.09779)]
 
* Papers on global bifurcations by V. Sh. Roitenberg (with his permission, in Russian):
 
[http://www.dyn-sys.org/w/images/c/c9/%D0%A0%D0%BE%D0%B9%D1%82%D0%B5%D0%BD%D0%B1%D0%B5%D1%80%D0%B3._%D0%9E_%D0%B1%D0%B8%D1%84%D1%83%D1%80%D0%BA%D0%B0%D1%86%D0%B8%D1%8F%D1%85_%D1%81%D0%B5%D0%BF%D0%B0%D1%80%D0%B0%D1%82%D1%80%D0%B8%D1%81_%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D1%8C%D0%BD%D1%8B%D1%85_%D0%BA_%D0%B4%D0%B2%D0%BE%D0%B9%D0%BD%D0%BE%D0%BC%D1%83_%D1%86%D0%B8%D0%BA%D0%BB%D1%83.pdf "О бифуркациях сепаратрис, предельных к двойному циклу", 1995]
 
[http://www.dyn-sys.org/w/images/c/cf/Roitenberg_thesis_2000.pdf "Нелокальные двухпараметрические бифуркации векторных полей на поверхностях", 2000]
 
[http://www.dyn-sys.org/w/images/4/42/%D0%A0%D0%BE%D0%B9%D1%82%D0%B5%D0%BD%D0%B1%D0%B5%D1%80%D0%B3._%D0%9E_%D0%B1%D0%B8%D1%84._%D0%B2.%D0%BF.%2C_%D0%B8%D0%BC%D0%B5%D1%8E%D1%89%D0%B8%D1%85_%D1%8F%D1%87%D0%B5%D0%B9%D0%BA%D1%83%2C_%D0%BE%D0%B3%D1%80%D0%B0%D0%BD%D0%B8%D1%87%D0%B5%D0%BD%D0%BD%D1%83%D1%8E_%D0%B4%D0%B2._%D1%86%D0%B8%D0%BA%D0%BB%D0%B0%D0%BC%D0%B8.pdf "О бифуркациях векторных полей, имеющих ячейку, ограниченную двойными циклами", 2008]
 
[https://www.gramota.net/articles/issn_1993-5552_2008_7_58.pdf "О бифуркациях векторных полей, имеющих ячейки, состоящие из траекторий, предельных к двойным циклам", 2008]
 
[https://www.gramota.net/articles/issn_1993-5552_2012_7_34.pdf "О бифуркациях векторных полей, имеющих сепаратрису, предельную к контуру из сепаратрис двух разноплановых седел", 2012]
 
[http://www.dyn-sys.org/w/images/5/5c/%D0%A0%D0%BE%D0%B9%D1%82%D0%B5%D0%BD%D0%B1%D0%B5%D1%80%D0%B3_%D1%84%D1%80%D0%B0%D0%B3%D0%BC%D0%B5%D0%BD%D1%82_%D0%BE_%D1%81%D0%B5%D0%BF%D0%B0%D1%80%D0%B0%D1%82%D1%80%D0%B8%D1%81%D0%B5_%D1%81%D0%B5%D0%B4%D0%BB%D0%BE%D1%83%D0%B7%D0%BB%D0%B0_%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D1%8C%D0%BD%D0%BE%D0%B9_%D0%BA_%D0%BF%D0%B5%D1%82%D0%BB%D0%B5_%D1%81%D0%B5%D0%B4%D0%BB%D0%B0.pdf "О некоторых нелокальных двухпараметрических бифуркациях векторных полей на поверхностях, имеющих особую точку типа седлоузла седел" (фрагмент)]
 
* Статья Диего М. Бенардета:
 
[https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2005389 "Complex Methods for Bounds on the Number of Periodic Solutions with an Application to a Neural Model" by Diego M. Benardete (the paper expounds Yu. S. Ilyashenko's method of obtaining an upper bound on the number of limit cycles and applies this methos to a neural model)]
 
* Статья Ю. С. Ильяшенко про аттракторы галёркинских приближений уравнения Навье-Стокса:
[http://www.dyn-sys.org/w/images/a/af/Ilyashenko_-_SelMathSov.pdf "Weakly Contracting Systems and Attractors of Galerkin Approximations of Navier-Stokes Equations on the Two-Dimensional Torus", 1992]
 
== Links ==
* [http://www.dyn-sys.org/w/images/5/5f/GlobifF.pdf Slides] of Yu. Ilyashenko's talk on global bifurcations {{ref-ru}}
* [http://www.dyn-sys.org/public/ODE-notes/ODE.pdf ODE textbook: Bufetov, Goncharuk, Ilyashenko] (September 2, 2019). Current status is described [http://www.dyn-sys.org/public/ODE-notes/Status.doc here].
* [[Plan:Fall 2013]] {{ref-ru}}
* [[I-Ya translation]] {{ref-ru}}
* [[Российская_газета_о_НМУ|Russian gazette about IUM]] {{ref-ru}}
* [[Grant numbers]]

Текущая версия от 00:59, 15 января 2026

English version

Dynamical Systems

Welcome to the official site of the seminar on Dynamical Systems supervised by Yu.S.Ilyashenko.

The seminar on Dynamical Systems supervised now by A.Gorodetski and Yu. Ilyashenko continues the activities started 30 years ago in the seminar on Differential Equations organized by N. Nekhoroshev and Yu. Ilyashenko.

The modern theory of dynamical systems is one of the main tools of natural studies. As a mathematical discipline it spreads from physics and probability to multidimentional complex analysis and algebraic geometry.

Some key problems are: How chaos occurs in deterministic systems? Where is the boundary between differential equations and probability theory in the description of the limit behavior of dynamical systems? Is our Solar System stable? What the attractor of a typical dynamical system looks like? What are the characteristic features of the foliations of a complex plane by analytic curves? What may be said about the number and location of limit cycles of a planar polynomial vector field? These questions (two of them going back to Poincare and Hilbert) are or were in the realm of the investigations of the seminar.

One of the traditions of the seminar is a part of a general tradition of Moscow Mathematical School. It is involving young students in the creative work on the very early stage of their education. Several new results are obtained by the third and second year undergraduate students participating the seminar.

Current activities



Papers

"Global bifurcations in generic one-parameter families on S^2" by V. Starichkova.

"Global bifurcations in generic one-parameter families with a separatrix loop on S^2" by Yu. Ilyashenko and N. Solodovnikov.

"Global bifurcations in generic one-parameter families with a parabolic cycle on S^2" by N. Goncharuk, Yu. Ilyashenko, and N. Solodovnikov. (arXiv:1707.09779)

  • Papers on global bifurcations by V. Sh. Roitenberg (with his permission, in Russian):

"О бифуркациях сепаратрис, предельных к двойному циклу", 1995

"Нелокальные двухпараметрические бифуркации векторных полей на поверхностях", 2000

"О бифуркациях векторных полей, имеющих ячейку, ограниченную двойными циклами", 2008

"О бифуркациях векторных полей, имеющих ячейки, состоящие из траекторий, предельных к двойным циклам", 2008

"О бифуркациях векторных полей, имеющих сепаратрису, предельную к контуру из сепаратрис двух разноплановых седел", 2012

"О некоторых нелокальных двухпараметрических бифуркациях векторных полей на поверхностях, имеющих особую точку типа седлоузла седел" (фрагмент)

  • Статья Диего М. Бенардета:

"Complex Methods for Bounds on the Number of Periodic Solutions with an Application to a Neural Model" by Diego M. Benardete (the paper expounds Yu. S. Ilyashenko's method of obtaining an upper bound on the number of limit cycles and applies this methos to a neural model)

  • Статья Ю. С. Ильяшенко про аттракторы галёркинских приближений уравнения Навье-Стокса:

"Weakly Contracting Systems and Attractors of Galerkin Approximations of Navier-Stokes Equations on the Two-Dimensional Torus", 1992

Links

Источник — http://www.dyn-sys.org/w/index.php?title=Заглавная_страница&oldid=2462