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http://archives.univ-biskra.dz/handle/123456789/29331| Title: | StabilityandBifurcationsandControlin FractionalOrderChaoticSystems |
| Authors: | Chettouh_Besma |
| Keywords: | Fractionalorder,Dynamicsystem,Stability,Bifurcations,Hopfbifurcation, Chaos,Control,E¤ectoffractionalorder,Jerksystem,Localisation. |
| Issue Date: | 2024 |
| Publisher: | Université Mohamed Khider-Biskra |
| 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. |
| Description: | Analysis Math and Application |
| URI: | http://archives.univ-biskra.dz/handle/123456789/29331 |
| 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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