Limit cycles of continuous and discontinuous piecewise differential systems separated by straight line and formed by two arbitrary quadratic centers
Date
2024-06-12
Authors
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Journal ISSN
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Publisher
UNIVERSITY BBA
Abstract
Our thesisisdevotedtosolvingasignificantandchallengingissueinthequalitativetheory
of differentialsystemscalledthesixteenthHilbertproblem.Moreprecisely,weusethefirst
integralstodeterminethemaximumnumberoflimitcyclesofsomefamiliesofdiscontinuous
piecewise nonlineardifferentialsystemsseparatedbyastraightline
Description
Keywords
Piecewise differentialsystem,linearcenter,cubicreversibleisochronouscentershavingrational first integrals,Hamiltoniansystemwithlinearpluscubichomogeneoustermswithanilpotent saddle, limitcycle.