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<p class="MsoNormal"><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Sayin Liste Uyeleri,<br>
<br>
Gebze Teknik Üniversitesi (GTU</span>) <span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">
Matematik Bölümü Genel Seminerleri kapsamında,<br>
25 Kasım Cuma günü saat 14:00'da Oğul Esen</span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">(Gebze
Teknik Üniversitesi) bir seminer verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.<br>
<br>
Saygılarımızla.<o:p></o:p></span></p>
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Dear all,<br>
<br>
There will be a seminar in Gebze Technical University (GTU) on 25th of<br>
November by </span><span style="font-family: Calibri, Arial, Helvetica, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", NotoColorEmoji, "Segoe UI Symbol", "Android Emoji", EmojiSymbols; font-size: 16px; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Oğul
Esen </span><span style="font-family: Calibri, Arial, Helvetica, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", NotoColorEmoji, "Segoe UI Symbol", "Android Emoji", EmojiSymbols; font-size: 16px; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">(GTU)</span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><br>
Time and place: At 14:00 in Department of Mathematics, Building I, Seminar room.<br>
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Title: <span style="font-size: 12pt;">On Matching of Dynamical Systems</span><br>
Abstract: <span style="font-family: Calibri, sans-serif; font-size: 11pt; text-align: justify;">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.</span></p>
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<span style="font-size:11.0pt;
font-family:"Calibri",sans-serif;mso-fareast-font-family:Calibri;mso-fareast-language:
EN-US">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.</span></p>
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<span style="font-size:11.0pt;
font-family:"Calibri",sans-serif;mso-fareast-font-family:Calibri;mso-fareast-language:
EN-US">References</span></p>
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<!--[if !supportLists]--><span style="font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:
Symbol">·<span style="font-variant-numeric: normal; font-stretch: normal; font-size: 7pt; line-height: normal; font-family: "Times New Roman";">
</span></span><!--[endif]-->O. Esen and S. Sütlü "Lagrangian Dynamics on Matched Pairs", Journal of Geometry and Physics 111C (2017) pp. 142-157
<o:p></o:p></p>
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<!--[if !supportLists]--><span style="font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family:
Symbol">·<span style="font-variant-numeric: normal; font-stretch: normal; font-size: 7pt; line-height: normal; font-family: "Times New Roman";">
</span></span><!--[endif]-->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)<o:p></o:p></p>
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