On the number of limit cycles of a class of polynomial differential systems

dc.contributor.authorBOUBEKER, CHAFIKA
dc.date.accessioned2022-11-03T08:09:52Z
dc.date.available2022-11-03T08:09:52Z
dc.date.issued2022-06-28
dc.description.abstractجبرةـ Abstract : The objective of this memory is the qualitative study of a class of polynomial planar differential systems. The results obtained in this study concern the existence and the number of periodic solutions isolated by consequent limit cycles. And we have shown we have shown that it has at most two limit cycles. Moreover, we were able to determine the explicit expressions of the limit cycles (algebraic and non-algebraic) found for the studied class. Finally, some examples were presented to illustrat الهدف من هذه المذرة هو الدراسة النوعة لصنف من الانظمة التفاضلة ثیرات الحدود المستوةـ النتائج التي تحصلنا علیها في هذه الدراسة تهتم بوجود و عدد الحلول الدورة المعزولة التالي دورات الحدـ و قد اثبتنا انها تحتو على دورتین حدیتین على الاكثرـ الإضافة الى ذلك تمننا من تحدید التغییرات الصرحة لهذه الدورات الحدة (جبرة و غیر جبرة) النسة لهذه الفئة المدروسة اخیراـ قدمنا عض الامثلة لتوضح النتائج التيen_US
dc.identifier.issnMTM/313
dc.identifier.urihttp://10.10.1.6:4000/handle/123456789/2256
dc.language.isoenen_US
dc.publisherUniversité de Bordj Bou Arreridj Faculty of Mathematics and Computer Scienceen_US
dc.subjects obtained. Keywords: Differential system, periodic solution, invariant curve, algebraic limit cycle, nonen_US
dc.subjects obtained. Keywords: Differential system, periodic solution, invariant curve, algebraic limit cycle, noen_US
dc.titleOn the number of limit cycles of a class of polynomial differential systemsen_US
dc.typeThesisen_US

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