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dc.contributor.author Madadi, Sarra
dc.date.accessioned 2022-12-04T08:06:28Z
dc.date.available 2022-12-04T08:06:28Z
dc.date.issued 2022-06
dc.identifier.issn MTM/332
dc.identifier.uri https://dspace.univ-bba.dz:443/xmlui/handle/123456789/2826
dc.description.abstract In this thesis, we rst gave essential information such as de nitions, lemmas, and theorems used in our study. Second, we have presented the averaging theory for computing limit cycles for the systems, focus-focus, focus-center, with the straight separation line y = 0; we proved that there are at most 1, 2, or 3 limit cycles, and the systems, center-center can not have limit cycles. Next, we studied the limit cycles of planar piecewise di erential systems formed by quadratic systems and linear centers. We proved that these piecewise systems, with the straight separation line y = 0; have a continuum of periodic orbits and can have at most 2, 3, 4, 5, and 8 limit cycles. Finally, we have tackled the number of periodic solutions of the piecewise di erential systems formed by the linear center and isochronous cubic system separated by the straight-line x = 0 and y = ax + b by treating the two cases as continuous and discontinuous. We proved that piecewise systems have three solutions with a long formula. 39 en_US
dc.language.iso en en_US
dc.publisher Université de Bordj Bou Arreridj Faculty of Mathematics and Computer Science en_US
dc.title Piecewise Di erential System en_US
dc.type Thesis en_US


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