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http://archives.univ-biskra.dz/handle/123456789/29331Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chettouh_Besma | - |
| dc.date.accessioned | 2024-11-07T08:33:50Z | - |
| dc.date.available | 2024-11-07T08:33:50Z | - |
| dc.date.issued | 2024 | - |
| dc.identifier.uri | http://archives.univ-biskra.dz/handle/123456789/29331 | - |
| dc.description | Analysis Math and Application | en_US |
| dc.description.abstract | Theinclusionoffractional-orderdynamicsinthestudyofnonlinearsystemshasbroadened ourunderstandingofcomplexbehaviors,suchasstability,chaosandbifurcations,andhas openedupnewpossibilitiesincontroltheory.Thesesystemsinvolvederivativesandintegrals ofnon-integerorder,introducinganewlevelof exibilityandversatilityinmodelingreal- worldphenomena.Thisthesisaimstostudythestabilityandbifurcationsinafractional orderchaoticsystemsandthecontrolofchaos.Toachieveourgoalweintroducedinthe rst towchaptersthenecessarybasicnotionssuchas:fractionalderivation,chaostheory,stability offractionalsystemsandbifurcationtheory.Themainresultsofthisthesisarepresented inthelasttowchapterswherewegavethenecessaryandsu¢cientconditionsforstability, weshowedtheexistenceofHopfbifurcationsinbothcases:integerandfractionalalsowe provedthee¤ectoffractionalorderinthecriticalpointlocationofHopf sbifurcationpoints, stabilityandchaoscontrol. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Université Mohamed Khider-Biskra | en_US |
| dc.subject | Fractionalorder,Dynamicsystem,Stability,Bifurcations,Hopfbifurcation, | en_US |
| dc.subject | Chaos,Control,E¤ectoffractionalorder,Jerksystem,Localisation. | en_US |
| dc.title | StabilityandBifurcationsandControlin FractionalOrderChaoticSystems | en_US |
| dc.type | Thesis | en_US |
| Appears in Collections: | Mathématiques | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Chettouh_Besma.pdf | 3,44 MB | Adobe PDF | View/Open |
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