[Turkmath:6530] The Announce of Weekly Online Seminar “Analysis and Applied Mathematics" Allaberen Ashyralyev <aallaberen at gmail.com>

[Allaberen Ashyralyev]

You are cordially invited to the  Weekly Online Seminar “Analysis and
Applied Mathematics” on
*Date*: Tuesday, June 04, 2024
*Time:* 14.00-15.00 (Istanbul) = 13.00-14.00 (Ghent) = 16.00-17.00 (Almaty)
*Place:* Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1
*Speaker:*Prof. Dr. Vladimir M. Savchin
Peoples' Friendship University of Russia, Moscow, Russia
*Title:* On potentiality, discretization, and integral invariants
of the infinite dimensional Birkhoff 's systems
*Abstract:* In the study of the equations of motion of systems of various
physical nature,
there are problems of determining the qualitative indicators and properties
of motion according to the known structure and properties of the equations
under consideration.
Such qualitative indicators for finite dimensional systems are, in
particular, integral invariants-integrals of some functions that retain
their value during the movement of the system. They were introduced into
analytical mechanics by A. Poincare. In the future, the connection
of integral invariants with a number of fundamental concepts of classical
dynamics was established. The main purpose of this lecture is to extend
some notions of the theory of integral invariants to broad classes of
equations of motion of infinite dimensional systems. Using a given
Hamilton's action, the equations of motion of potential systems with an
infinite number of degrees of freedom are obtained, generalizing the well
known Birkhoff's equations.  A difference analogy with discrete time is
constructed for them. Based on it, a difference approximation of the
corresponding integral invariant of the first order is found.

 *Abstracts and forthcoming talks can be found on our webpage*
https://sites.google.com/view/aam-seminars
With my best wishes
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University,**34349**, Istanbul,
Turkiye*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars

https://ejaam.org/editorial.html

*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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