7097

440 دكتري

دكتري

سيستم هاي ديناميكي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1390

هشت،126ص.: مصور،جدول،نمودار

ص.ع.به فارسي و انگليسي

رياضي

ID440 دكتري

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Surname Atabaigi Name AliTitle Limit cycle bifurcations in some Hamiltonian systemsSupervisor HamidReza Zohouri ZangenehAdvisor Hans CrauelDegree Doctor of Science Subject Applied MathematicsField Dynamical systemsIsfahan University of Technology Faculty of Mathematical SciencesDate 2012 Number of pages 129Keywords Bifurcation Limit cycle Hamiltonian systems Abelian integralAbstract This thesis deals with the bifurcations of limit cycle by perturbing some Hamiltonian sys tems Using the idea of Poincar map built on a proper section transversal to the periodannulus of the unperturbed system the problem is reduced to the problem of nding leastupper bound for the number of isolated zeros of a so called rst order Melnikov function orAbelian integral We use standard methods to consider Hopf bifurcation Poincar bifurcation and bifurcationof limit cycle form graphics These methods are the method based on Picard Fuchs equa tions the method based on Chebeychev criterion and the method of studying the asymptoticexpansion of Abelian integrals

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هانس كراول

غلامحسين ارجائي، غلامرضا ركني لموكي، رسول عاشقي