[Turkmath:4125] MSGSÜ Matematik Bölümü Genel Semineri-Oğul Esen-10.10.2019, 16:00

[FATMA ALTUNBULAK AKSU]

*Sayın liste üyeleri,*



*MSGSÜ Matematik Bölümü Genel Seminerinde bu haftaki konuşmacımız Oğul
Esen. Seminer ile ilgili tüm detaylar aşağıda yer almaktadır. *





Oğul Esen (Gebze Teknik Üniversitesi)



Başlık: " Matching of (higher-order) Lagrangian dynamics"



Özet:

The talk will be consisting of two main parts. In the first one, a gentle
introduction to Geometric Mechanics will be presented. Accordingly, some
basic notions of the theory namely, Lie groups, Lie algebras,
Euler-Poincaré equations, will be exhibited.


In the second part, we shall address the problem of determining the matched
equations of motion of two interacting systems (whose configuration spaces
are Lie groups) governing the coupled system starting with the individual
equations of motions in (higher-order) Lagrangian form. The configuration
spaces of the systems being Lie groups is imperative here in order to
define the mutual actions. We shall present the theory of matched dynamics
and particularly write, what I call, (higher-order) matched Euler-Poincaré
equations. It will be shown that the theory of matched dynamics is a
generalization of the well-developed semi-direct product theory.


This talk is part of a project pursued jointly Serkan Sütlü.


References

   - O. Esen, Kudeyt, M., Sütlü, S. (2019). Matched Higher Order Lagrangian
   Dynamics. arXiv preprint arXiv:1909.10375.


   - O. Esen, S. Sütlü, (2018). Matched pairs of discrete dynamical
   systems. arXiv preprint arXiv:1809.00521.
   - O. Esen, S. Sütlü, (2017), Lagrangian Dynamics on Matched Pairs,
   Journal of Geometry and Physics  111C (2017) pp. 142-157.
   - O. Esen, S. Sütlü, (2016), Hamiltonian dynamics on matched pairs,
   International Journal of Geometric Methods in Modern Physics, Vol. 13, No.
   10 (2016) 1650128 (24 pages)



*Tarih: 10 Ekim 2019 Perşembe, 16:00*

Yer: Matematik Bölümü Seminer Odası



*Seminerde görüşmek dileğiyle,*



*Fatma Altunbulak Aksu*

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