<div dir="ltr"><div dir="ltr"><span style="color:rgb(0,0,0)"><font size="4" face="times new roman, serif">Sayın Liste Üyeleri, </font></span><div><font color="#000000"><br></font><div><font size="4" face="times new roman, serif"><span style="color:rgb(0,0,0)">" Lineer Olmayan Sistemler Çalıştayı III- Araştırma Haftası " kapsamında </span><span style="color:rgb(0,0,0)">Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerlerinde, 3 Aralık Cuma günü saat 14:00'da Prof. Dr. Partha Guha (Khalifa University of Science and Technology, BAE) bir seminer verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.</span></font></div><div><span style="color:rgb(0,0,0)"><font size="4" face="times new roman, serif"><br></font></span></div><div><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit"><font size="4" face="times new roman, serif">Seminer hibrit olarak yapılacak olup yüz yüze katılım GTÜ Matematik Bölümü Derslik 3'de gerçekleşecektir. Ayrıca seminer için Microsoft Teams platformu da kullanılacaktır. Seminerin canlı yayınına katılmak için aşağıdaki linki kullanabilirsiniz:</font></span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><a href="https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1638185513252?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d" rel="noopener noreferrer" id="gmail-m_-5084091575648260425gmail-LPlnkOWALinkPreview" target="_blank" style="margin:0px;padding:0px;border:0px;font-variant-numeric:inherit;font-variant-east-asian:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline"><font face="times new roman, serif" size="4">https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1638185513252?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d</font></a><font face="times new roman, serif" size="4"><br></font></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><font face="times new roman, serif" size="4"><span style="color:black;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-weight:inherit">Seminere bağlanırken aşağıdaki pencereyi görürseniz,  </span><br></font></p><div><div style="margin:0px;padding:0px 0px 20px;width:1292.01px"><div><div id="gmail-m_-5084091575648260425gmail-m_-3763938523873067391gmail-m_-4484010747638358063gmail-m_2336171309765023997gmail-m_-5290101658690503534gmail-m_1506430537663087317gmail-m_1461125775939478419gmail-m_1053137937070507717gmail-m_6712627122836007350m_-110257448629475421gmail-m_2405821737487009279gmail-m_-4405993657972613949gmail-m_7742653327667936562gmail-m_-3732872434198459104gmail-m_-2452098118704142446gmail-m_382481508710205672gmail-m_-8877719953809400082gmail-m_-5182316500602618121gmail-m_4022120470131567544gmail-m_7020374219836464582gmail-m_8031739632029506976gmail-m_-5144536880648767428gmail-m_-5806295537924262305gmail-m_651361668794931679gmail-m_-2180024538495304065gmail-m_-3356662611124888141gmail-m_-4945296957494465711gmail-m_-3056324374523914115gmail-m_7023765849126158304gmail-m_7125744001494289074gmail-m_6627495338753105945gmail-:vu" style="direction:ltr;margin:8px 0px 0px;padding:0px"><div id="gmail-m_-5084091575648260425gmail-m_-3763938523873067391gmail-m_-4484010747638358063gmail-m_2336171309765023997gmail-m_-5290101658690503534gmail-m_1506430537663087317gmail-m_1461125775939478419gmail-m_1053137937070507717gmail-m_6712627122836007350m_-110257448629475421gmail-m_2405821737487009279gmail-m_-4405993657972613949gmail-m_7742653327667936562gmail-m_-3732872434198459104gmail-m_-2452098118704142446gmail-m_382481508710205672gmail-m_-8877719953809400082gmail-m_-5182316500602618121gmail-m_4022120470131567544gmail-m_7020374219836464582gmail-m_8031739632029506976gmail-m_-5144536880648767428gmail-m_-5806295537924262305gmail-m_651361668794931679gmail-m_-2180024538495304065gmail-m_-3356662611124888141gmail-m_-4945296957494465711gmail-m_-3056324374523914115gmail-m_7023765849126158304gmail-m_7125744001494289074gmail-m_6627495338753105945gmail-:vv" style="overflow:hidden;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;line-height:1.5"><div dir="ltr"><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font size="4" face="times new roman, serif"><br></font></p><div><font size="4" face="times new roman, serif"><img src="cid:ii_kfs6ydpf0" alt="image.png" width="327" height="165" class="gmail-CToWUd gmail-a6T" tabindex="0" style="cursor: pointer; outline: 0px;"><span style="color:black;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-weight:inherit;text-align:center"> </span><br></font></div><p align="center" style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;text-align:center"><font size="4" face="times new roman, serif"><br></font></p></div></div></div></div></div></div><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font size="4" face="times new roman, serif"><span lang="EN-US" style="font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black">lütfen</span><span lang="EN-US" style="font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"><b><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"> </span>Allow (İzin ver) </b></span><span lang="EN-US" style="font-style:inherit;font-variant:inherit;font-weight:inherit;margin:0px;padding:0px;border:0px;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black">seçeneğine tıklayınız. Bu sizin toplantıya kamera ve mikrofonunuzla bağlanabilmenizi sağlar.</span><br></font></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"><font size="4" face="times new roman, serif"><br></font></span></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"><font size="4" face="times new roman, serif">Seminere giriş yaparken lütfen gerçek ve tam adınızı kullanınız.</font></span></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"><font size="4" face="times new roman, serif"><br></font></span></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font color="#000000" size="4" face="times new roman, serif"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Konuşmadığınız sürece lütfen mikrofonunuzu kapalı tutunuz.</span></font></p></div><div><span style="color:rgb(0,0,0)"><font size="4" face="times new roman, serif"><br></font></span></div><div><span style="color:rgb(0,0,0)"><font size="4" face="times new roman, serif">Saygılarımızla. </font></span></div><div><span style="color:rgb(0,0,0)"><font size="4" face="times new roman, serif"><br></font></span></div><div><span style="color:rgb(0,0,0)"><font size="4" face="times new roman, serif">Dear all,</font></span></div><div><span style="color:rgb(0,0,0)"><font size="4" face="times new roman, serif"><br></font></span></div><div><font size="4"><font face="times new roman, serif"><span style="color:rgb(0,0,0)">There will be a seminar in Gebze Technical University (GTU)  on 3rd of December by </span></font><span style="color:rgb(0,0,0);font-family:"times new roman",serif"> Prof. Dr. Partha Guha (</span> <span style="color:rgb(0,0,0);font-family:"times new roman",serif">Khalifa University of Science and Technology, UAE</span> <span style="color:rgb(0,0,0);font-family:"times new roman",serif">). This talk is also a part of the "Workshop on Nonlinear Systems III - Research Week".</span></font></div><div><font face="times new roman, serif" size="4"><span style="color:rgb(0,0,0)"><br></span></font></div><div><font size="4"><font face="times new roman, serif"><span style="color:rgb(0,0,0)">Title: </span>Classical invariant theory, Chiellini integrability conditions and applications to </font><span style="font-family:"times new roman",serif">nonlinear differential equations.</span><br></font></div><div><span style="font-family:"times new roman",serif"><font size="4"><br></font></span></div><div><font face="times new roman, serif" size="4">Abstract: The Chiellini integrability condition is applied to find the solutions of nonlinear differential equations of Liénard type. It also enables us to formulate the Lagrangian </font><font face="times new roman, serif" size="4">description of the reduced  Liénard equations. We show that the Chiellini condition is related to classical invariant theory using techniques from representation theory. In this review the application of Chiellini condition extend the scope of the integrability condition given by Chiellini to find out solutions to several nonlinear differential equations. </font><span style="font-family:"times new roman",serif;font-size:large">We present the geometric Hamiltonian formulation of the</span><span style="font-family:"times new roman",serif;font-size:large"> </span><span style="font-family:"times new roman",serif;font-size:large">Liénard </span><span style="font-family:"times new roman",serif;font-size:large">equation using the Chiellini integrability condition. We explore a complex Hamiltonian and metriplectic geometric structure of the </span><span style="font-family:"times new roman",serif;font-size:large">Liénard</span><span style="font-family:"times new roman",serif;font-size:large"> equation.</span></div></div><div><font face="times new roman, serif" size="4"><br></font></div><div><div><font size="4"><span style="color:rgb(0,0,0)"><font face="times new roman, serif">Time and place: This will be a seminar in hybrid form; it will be held in person at 14:00 in the Department of Mathematics, Lecture Room 3. It will also be broadcasted live via Microsoft Teams platform. </font></span><span style="color:rgb(32,31,30);font-family:"times new roman",serif">To join the seminar, please use the following link:</span></font></div><div><span style="color:rgb(32,31,30);font-family:"times new roman",serif"><font size="4"><br></font></span></div><div><a href="https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1638185513252?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d" rel="noopener noreferrer" id="gmail-m_-5084091575648260425gmail-LPlnkOWALinkPreview" target="_blank" style="margin:0px;padding:0px;border:0px;font-variant-numeric:inherit;font-variant-east-asian:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline"><font face="times new roman, serif" size="4">https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1638185513252?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d</font></a><font size="4"><span style="color:rgb(32,31,30);font-family:"times new roman",serif"><br></span></font></div><div><font size="4"><br></font></div><div><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><font size="4" face="times new roman, serif"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black">If you see the following window when connecting to the seminar,  </span></span><br></font></p><div><font size="4" face="times new roman, serif"><img src="cid:ii_kfs6ydpv1" alt="image.png" width="327" height="165" class="gmail-CToWUd gmail-a6T" tabindex="0" style="cursor: pointer; outline: 0px;"><br></font></div><p align="center" style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;text-align:center"><b><font size="4" face="times new roman, serif"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"></span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"></span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"> </span></font></b></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font size="4" face="times new roman, serif"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black">please select</span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:bold;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"> </span></span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:bold;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"><b>Allow</b></span><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"><b>.<span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"> </span></b>Then you will be able to use your microphone and camera during the seminar. </span></font></p><p style="margin:0cm 0cm 0pt;color:rgb(32,31,30);background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span lang="EN-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:black"><font size="4" face="times new roman, serif"><br></font></span></p><p style="margin-top:0px;margin-bottom:0px;color:rgb(32,31,30)"></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:rgb(0,0,0)"><font size="4" face="times new roman, serif">Please use your real and complete name when you enter the system.</font></span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant:inherit;font-weight:inherit;font-stretch:inherit;line-height:normal;vertical-align:baseline;color:inherit"><font size="4" face="times new roman, serif">Please switch your microphone off unless you are speaking.</font></span></p><p style="margin:0cm 0cm 8pt;color:rgb(32,31,30);line-height:22px"><font face="times new roman, serif" size="4">Sincerely.</font></p></div></div></div></div>