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Faculté des mathématiques et de l'informatique
Doctora Mathématiques
Doctora Mathématiques
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search.filters.author.Imane Benabdallah, Benabdallah
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search.filters.subject.Piecewise differentialsystem,linearcenter,cubicreversibleisochronouscentershavingrational first integrals,Hamiltoniansystemwithlinearpluscubichomogeneoustermswithanilpotent saddle, limitcycle.
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2024
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Author: search.filters.author.Imane Benabdallah, Benabdallah
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Limit cycles of continuous and discontinuous piecewise differential systems separated by straight line and formed by two arbitrary quadratic centers
(
UNIVERSITY BBA
,
2024-06-12
)
Imane Benabdallah, Benabdallah
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Our thesisisdevotedtosolvingasignificantandchallengingissueinthequalitativetheory of differentialsystemscalledthesixteenthHilbertproblem.Moreprecisely,weusethefirst integralstodeterminethemaximumnumberoflimitcyclesofsomefamiliesofdiscontinuous piecewise nonlineardifferentialsystemsseparatedbyastraightline
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