[Turkmath:1664] Gebze Teknik Universitesi Genel Seminerleri

[Işıl Öner]

Sayin Liste Uyeleri,

Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri kapsamında,
25 Kasım Cuma günü saat 14:00'da Oğul Esen(Gebze Teknik Üniversitesi) bir seminer  verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.

Saygılarımızla.

Dear all,

There will be a seminar in Gebze Technical University (GTU) on 25th of
November  by Oğul Esen (GTU)
Time  and  place:  At 14:00 in Department of Mathematics, Building I, Seminar room.

Title:  On Matching of Dynamical Systems
Abstract: The problem presented in this talk is to determine 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 Lagrangian or/and Hamiltonian forms). The configuration spaces of the systems being Lie groups is imperative here in order to define the mutual actions.

To this end, we first recall some basics such as Lie groups, Lie algebras, Poisson manifolds and Hamiltonian systems. Then we will study reduced Lagrangian and reduced Hamiltonian dynamics by introducing Euler-Poincaré and Lie-Poisson equations, respectively. We introduce the matched pairs of Lie groups, and write the matched Euler-Poincaré and the matched Lie-Poisson equations.


References

*         O. Esen and S. Sütlü "Lagrangian Dynamics on Matched Pairs", Journal of Geometry and Physics 111C (2017) pp. 142-157

*         O. Esen and S. Sütlü "Hamiltonian dynamics on matched pairs", International Journal of Geometric Methods in Modern Physics, Vol. 13, No. 10 (2016) 1650128 (24 pages)







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