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
(bvNvLfrNmSSNiLzaMT)
Нет описания правки
 
(не показано 116 промежуточных версий 9 участников)
Строка 1: Строка 1:
http://pluserr2.blackapplehost.com/the-history-of-russia.html russian history books
<small><p align="right">[[/en|English version]]</p>
http://pluserr2.blackapplehost.com/arabic-language-learning-software.html learning the russian language
</small>
http://holdenn53.100webspace.net/microsoft-office-2007-keygen.html microsoft office 2008 keygen
 
http://pluserr2.blackapplehost.com/texas-outline-map.html free texas map
<big>'''Dynamical Systems'''</big>
http://holdenn53.100webspace.net/mongolian-beef-recipe.html mongolian beef recipe
 
http://gummi222.rack111.com/desktop-theme-search.html night desktop theme
Welcome to the official site of the seminar on Dynamical Systems supervised by Yu.S.Ilyashenko.
http://label445.001webs.com/calendario-cristiano-2008.html calendario de eurocopa 2008
 
http://label445.001webs.com/do-airtraffic-controllers.html dragon radio controlled airplane
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://label445.001webs.com/portable-office-2007.html office 2007 portable usb
 
http://treficc65.001webs.com/www-watch-the-simpsons-com.html watch simpsons smoke on the daughter
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://eisjzeu.blackapplehost.com/disney-channel-gsames.html disney channel high school muiscal
 
http://eisjzeu.blackapplehost.com/2-mercenaries-on.html buy mercenaries 2 world in  
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://label445.001webs.com/the-game-of-life-online.html real life online
 
http://holdenn53.100webspace.net/stop-taking-birth-control.html symptoms of birth control
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://treficc65.001webs.com/watch-futurama-episodes-online-free.html watch futurama now
== Current activities ==
http://eisjzeu.blackapplehost.com/shower-fiberglass-repair.html fiberglass gelcoat repair
<!-- === Seminar at MSU ===
http://treficc65.001webs.com/costume-party-shop.html costumes for p party
{{:Доклад:9.9.2011}} -->
http://label445.001webs.com/learn-spanish-online-video.html learn spanish spanish with parallel english translation etexts
 
http://pluserr2.blackapplehost.com/channel-2-news-in-baltimore.html channel 2 news in nyc
<!-- === Seminar at IUM ===
http://gummi222.rack111.com/air-ronaldinho-rival-leisure-soccer-shoes.html indoor soccer shoes clearance
{{:Доклад:25.04.2011}}
http://jekant23.007webs.com/to-buy-a-fly-fishing-rod.html trout fly fishing gear
-->
http://jekant23.007webs.com/washer-dryer-combo.html bosch washer dryer
* [https://www.hse.ru/our/news/876470885.html Интервью Юлия Сергеевича "Вышке для своих" (30 ноября 2023)]
http://gummi222.rack111.com/trendy-baby-names.html names of baby
* [[Seminar talks 2020-2021]]
http://eisjzeu.blackapplehost.com/north-florida-map.html polk county florida map
* [[Dynamical Systems 2019]]
http://treficc65.001webs.com/joke-de-kruijf.html funniest short joke
 
http://pluserr2.blackapplehost.com/watch-bones-the-girl-in.html watch bones the woman in the  
 
http://jekant23.007webs.com/ice-fishing-magazine.html bay de noc ice fishing
 
http://jekant23.007webs.com/bleach-english.html bleach 1 english
== Papers ==
http://eisjzeu.blackapplehost.com/abc-news-channel-9.html abc local news channel
 
http://gummi222.rack111.com/dance-moves-to-learn.html learn bhangra dance
* [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://holdenn53.100webspace.net/weather-channel-map.html weather channel ottawa canada
* [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://treficc65.001webs.com/austral-soccer-club.html best soccer club
* [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]
http://jekant23.007webs.com/machine-gun-turret.html machine gun belt
* Papers on global bifurcations in one-parameter families:
http://holdenn53.100webspace.net/step-2-toys.html step 2 playhouses
[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://gummi222.rack111.com/all-usa-baseball-team.html fishercats baseball team
 
[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 01:19, 20 сентября 2024

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=2459