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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Asma, Allam | - |
| dc.date.accessioned | 2024-07-10T11:00:13Z | - |
| dc.date.available | 2024-07-10T11:00:13Z | - |
| dc.date.issued | 2024-07 | - |
| dc.identifier.other | D.N510/03 | - |
| dc.identifier.uri | http://dspace.centre-univ-mila.dz/jspui/handle/123456789/3438 | - |
| dc.description | Dans ledomainedessystèmesdynamiques,l’étudeducomportementasymptotique des solutionsdessystèmesd’équationsauxdi érencesrevêtunesignificationprofonde, car ellerévèlelesschémassous-jacentsetlestrajectoiresquiguidentl’évolutionde divers systèmes.Cettethèseseconsacreàlarechercheetàl’étudeducomportementdes solutions decertainssystèmesmultidimensionnelsd’équationsauxdi érences.Plus précisément, nousnousintéressonsàunmodèlediscretdecommunauté,àlaformeet au comportementasymptotiquedessolutionsd’unsystèmemultidimensionnelproche du cycliqued’équationsauxdi érences,ainsiqu’àlaconvergencedessolutionsd’un système bidimensionneld’équationsauxdi érencesd’ordresupérieur. Ensuite, plusieursrésultatssontprésentés,notammentconcernantlaformedes solutions, lecomportementasymptotique,l’attractivitéglobale,laconvergencedes solutions etletauxdeconvergence.Deplus,denombreusessimulationssontréalisées pour confirmeretmettreenévidencenoscontributions. | en_US |
| dc.description.abstract | In the realm of dynamical systems,examining how solutions of systems of diference equations be have over time holds profound significance as it unveils the underlying patterns and trajectories that guide the evolution of various systems.This thesis delves into finding the formof solutions forspecificmultidimensionalsystemsofdi erence equations andstudyingtheirbehavior.Specifically,weareinterestedinadiscrete community model,theformandtheasymptoticbehaviorofsolutionstoaclose-to- cyclic multidimensionaldi erenceequationssystem,andtheconvergenceofsolutions of atwo-dimensionalsystemofhigher-orderdi erenceequations. Several resultsarethenpresentedabouttheformofsolutions,theasymptotic behavior,the global attractivity,therateofconvergence,andtheconvergenceof solutions, inadditiontonumeroussimulationswhichallowconfirmingandbringing out ourcontributions | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | University Center of Abdelhafid boussouf -Mila | en_US |
| dc.subject | Systems ofdiference equations,equilibriumpoints,qualitativestudy, local stability,asymptoticbehavior,rateofconvergence. | en_US |
| dc.subject | Systèmes d’équationsauxdi érences,pointsd’équilibre,étudequalitative, stabilité locale,comportementasymptotique,ordredeconvergence | en_US |
| dc.title | Dynamic behavior of multidimensional systems of difference equations | en_US |
| dc.type | Thesis | en_US |
| Appears in Collections: | Mathematics | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Dynamic behavior of multidimensional systems of difference equations .pdf | 1,12 MB | Adobe PDF | View/Open |
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