پديد آورنده :
اشرفي، مهنوش
عنوان :
تعداد سيكل هاي حدي در اختلالات مرتبه دوم از مراكز مرتبه ي دو با همبعد چهار
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
رياضي كاربردي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
نه،90ص.: نمودار
يادداشت :
ص.ع.به فارسي و انگليسي
استاد راهنما :
رسول عاشقي
استاد مشاور :
حميدرضا ظهوري زنگنه
تاريخ نمايه سازي :
8/11/92
استاد داور :
مجيد گازر، رضا مزروعي سبداني
چكيده فارسي :
به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي
چكيده انگليسي :
On the number of limit cycles in quadratic perturbations of quadratic codimension four centers Mehnoosh Ashra m ashra @math iut ac ir 2013 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Rasoul Asheghi rasoul asheghi@cc iut ac ir Advisor Dr Hamid Reza Zohouri Zangeneh hamidz@cc iut ac ir 2010 MSC 34C07 34C08 34C23 34C27 Keywords Quadratic codimension four centers Limit cycles Zeros of Abelian integrals Quadraticperturbations Abstract Hilbert s 16th problem was posed by David Hilbert at the Paris conference of the InternationalCongress of Mathematicians in 1900 together with the other 22 problems The original problem wasposed as the problem of the topology of algebraic curves and surfaces Actually the problem consistsof two similar problems in di erent branches of mathematics 1 An investigation of the relative positions of the branches of real algebraic curves of degree n andsimilarly for algebraic surfaces 2 The determination of the upper bound for the number of limit cycles in polynomial vector elds ofdegree n and an investigation of their relative positions Usually the maximum of the number of limit cycles is denoted by H n and is called the Hilbertnumber This problem is still open even for the case n 2 Recall that a limit cycle is an isolated closedorbit In many applications the number and eposition of limit cycles are important to understand thedynamical behavior of the system Limit cycle behavior is observed in many physical and biologicalsystems As usual we use the notion of the cyclicity for the total number of limit cycles which canemerge from a con guration of trajectories center period annulus singular loop under a perturba tion
استاد راهنما :
رسول عاشقي
استاد مشاور :
حميدرضا ظهوري زنگنه
استاد داور :
مجيد گازر، رضا مزروعي سبداني
